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The Enigma About Dark Matter
Sanober Riaz1
Mississippi State University, Mississippi State, Ms 39762
The Universe is believed to be in a balance between being open and closed; the
argument being derived from the large-scale structure of the Universe and that the
Universe stands in need for a defined amount of matter to acquire this result. Ninety-nine
percent of the Universe is believed to be dark matter. Scientists are convinced that we
only see one percent of the five percent baryonic matter that is present in the Universe.
Information on various subjects about dark matter is showcased in this survey paper.
The collection of the possible explanations to what dark matter could be has been briefly
discussed. Usually, astronomers classify dark matter as baryonic matter; the
fundamental unit of which is an atom consisted of smaller subatomic particles such as
proton, electrons and neutrons. There is much plausibility on what dark matter could be,
and there is no definite answer to the question today. The enigmatic story of dark matter,
which is currently one of the greatest mysteries in the astronomical world, has been
discussed in this paper. The main focus of this paper is on describing the reasons that
lead us to the believing in the existence of dark matter.
I. Introduction
During the last couple of decades, the exciting observational developments have significantly increased our
understanding of the history of the Universe. A comparable progress has been made in our theoretical
understanding of the main processes that govern the evolution of structure in the Universe. The Universe is
enormous. It holds innumerous colossal galaxies containing several hundred billion stars. Besides stars, galaxies
contain giant clouds of gas and dust, each one with raw material for thousands of new stars. For years, we took
for granted that, what astronomers had detected with their telescopes – radiation from stars of all sizes, colors
and ages, high-energy particles, gas and dust – was all the galaxies were made of. In recent times, though,
evidence has been accumulated that there is more to our habitat than what at first meets the eye through the
telescope. Astronomers now suggest that as much as ninety percent of the matter in the Universe must be in some
“dark” form that escaped detection.
There is a growing knowledge among astronomers that galaxies are embedded in massive clouds of dark
matter. Does dark matter exist? If so, does it take the form of black holes, brown dwarfs, or some bizarre type of
elementary particle? The mystery of dark matter has become one of the most important issues of the day for
anyone who wants to understand what the Universe is and how it works. The dark matter problem is so pervasive
that the solution promises to revolutionize astronomy and cosmology. Attention is drawn to the history,
Background and related work of dark matter in this paper.
II. History
Scientists in the astronomical and the cosmological world learned about the existence of dark matter around
eighty years back. There is much possibility to what it could be. Even though dark matter is apparently invisible,
astrophysicists are much convinced that it exits. It is uncertain what dark matter really is; however scientists have
a better knowledge of what it is not rather than what it could be.
First, there is a certainty that dark matter is not in the form of stars and planets that we see. Also, it is not in
the form of dark clouds of normal matter; matter made up of particles called baryon. By definition, baryonic
1
Student, Department of Aerospace Engineering, 330 Walker at Hardy Rd, Mississippi State, MS 39762,
student.
2
matter should only include matter composed of baryons. In other words, it should only include protons, neutrons
and all the objects composed of them (i.e. atomic nuclei), but exclude things such as electrons, and neutrinos,
which are actually leptons.
Second, dark matter is not antimatter, because we do not see the unique gamma rays that are produced when
the antimatter annihilates with matter. Finally, the possibility of large galaxy-sized black holes is ruled out, on
the basis of how many gravitational lenses are seen. High concentration of matter bend light passing near them
from objects further away; but not enough lensing events are seen to suggest that such objects make up the
required twenty five percent dark matter contribution.
At this point, there are still a few dark matter explanations that are viable. Baryonic matter could still make
up the dark matter if it were all tied up in brown dwarfs or in small, dense chunks of heavy elements. These
possibilities are known as massive compact halo objects, or MACHO. But the most common vies is that dark
matter is not baryonic at all, but that it is made up of other, more exotic particle axions or WIMPS (Weakly
Interacting Massive Particles).
In the past few years radio and optical telescopes have measured the rate at which stars and gas clouds in the
outer parts of spiral galaxies are orbiting the center of mass of those galaxies. Optical photographs show spiral
galaxies to be graceful pinwheels of billions of stars, with the light falling off steadily from the central to the
outer regions. Since stars produce the light, we naturally expect there to be fewer stars in the outer regions.
A galaxy is held together by gravity. It is not a rigid, rotating body. The strength of the gravitational pull or
force of a galaxy is proportional to the amount of matter in it. Thus, the force of gravity should be strongest near
the center of galaxy, where the matter appears to be concentrated. As the matter thins out along the spiral arms,
the gravity should decrease. It then follows that the speed of rotation of the stars and gas clouds should decline
from the inner to the outer regions.
This was not the observation that was obtained. More powerful instruments have been used to extend the
velocity measurements for stars and gas clouds to the outer regions of spiral galaxies. An analysis of these
measurements has shown that the stars are not slowing down: they are moving at the same speed as the ones
closer in. the gravity of the visible matter is not strong enough to hold these stars in orbit. They should fly off on
a tangent, zipping out of the galaxy. But, the galaxies are orbiting as if nothing were wrong.This brought
scientists to the conclusion that there is some additional force that comes into play over these large scales, a force
that is missing from the calculations of the orbit. This possibility is under active consideration by a small group
of astronomers. However, most astronomers are reluctant to scrap the Newton-Einstein theory of gravity, which
has served them so well. They prefer to assume that it is correct and explore another alternative to explain the
rapid rotation of spiral galaxies.
This alternative approach leads to the conclusion that the spiral galaxies contain a large amount of matter that
has escaped detections. This could be dark matter, which would produce the extra gravitational force that is
needed to keep the stars and gas on the outer edges of spiral galaxies. The first hint of it existence came in 1933,
when astronomical observation and calculations of gravitational effects revealed that there must be more of
gravitational effects revealed that there must be more to the Universe than telescopes could see.
A. Rotation Curves of Galaxies
3
From the above graphs we learn that the mass of galaxy grows with radius. Which draws us to the conclusion
that galaxies require dark matter halo.
Gravitationally bound halos of different mass-forms have been formed during the cosmological evolution.
These halos consist of dark matter and gas. Due to the hydro dynamical interaction of the gas in general, the ratio
of gas to dark matter within the halos is different from the mean ratio of 0.15 assumed in the simulation.Baryonic
argument: baryonic density fluctuations will not produce galaxies. You need a heavy particle that is not affected
by radiation pressure in order to produce galaxies. This means that galaxies are surrounded by dark matter halos,
which trapped baryonic gas (e.g. Hydrogen) and turned it into stars. So a galaxy like this is surrounded by an
invisible dark matter halo.
III. Background and Related Work
B. Beyond the Luminous Edge
A major puzzle about dark matter is regarding the nature of it. Scientists wonder if it could be similar to the
matter we observe – gas, dust, rocks, comets, planets and stars. Will it be possible to observe the dark matter in
our galaxy? That will depend on how “dark” it actually is.
Darkness, in astronomy, is measured relative sunlight. How, then, can a star be considered dark? Stars
produce energy by the same process as the sun – thermonuclear reactions in the interior. A simple rule applies:
The more massive a star is, the more efficiently it radiates. Dark matter is material that gravitates but does not
emit very much light. More specifically, it is material, which has a high ratio of mass-to-luminosity. Researchers
now estimate that the gravitational effect of dark matter makes galaxies spin faster than expected, and that its
gravitational field deviates the light of objects behind it. Measurements of these effects show that dark matter
exists, and they can be used to estimate the density of dark matter even though we cannot directly observe it.
Recent studies show that galaxies are embedded in a huge envelope of dark matter. When a galaxy is called
to be luminous, it is only like the rip of an iceberg. The luminous matter represents at most fifty percent of the
actual matter in the galaxy. The remaining matter may be concealed in an ocean of dark stars or exotic particles.
The first evidence of an envelope of dark matter around our galaxy came from radio observations. Radio
astronomers have developed techniques for measuring the speeds at which the clouds of gas are orbiting the
center of our galaxy. From these observations, the mass of the galaxy can be deduced. The technique involves
the use of Doppler effect. Interstellar clouds of gas have distinctive features in their radio radiation. These can be
measure and translated into speeds toward or away from Earth.
Scientists have the idea that dark matter could contain ‘super-symmetric particles’ – hypothesized particles
that are partners to those already known in the Standard Model. Experiments at the Large Hadron Collider (LHC)
may be able to find them. LHC is a gigantic scientific instrument near Geneva, where it spans the border between
Switzerland and France about hundred meters underground. It is a particle accelerator used by physicists to study
the smallest known particles – the fundamental building blocks of all things.
Radio astronomers have set up a galactic speed trap to measure the speed of hydrogen gas clouds in our
galaxy. If the cloud is moving towards Earth, the radiation is shifted to shorter wavelengths to a degree that
depends on how fast it is moving. If the cloud is moving away from Earth, the radiation I shifted to longer
wavelengths. The key to the application of this method is to find distinctive reference features of the radio
4
radiation from interstellar gas clouds. Nature has provided astronomers with a number of such reference features
in the radiation from stars and clouds of gas.
Sometimes electrons get torn away from the atoms and become free electrons. There are few restrictions on
the type of motion that free electrons can perform. They may oscillate very rapidly, which produces high-
frequency radiation, or very slowly, which produces low-frequency radiation, or at some intermediate rate, which
produces radiation at some intermediate frequency.
How extensive is the envelope of dark matter? The technique is basically the same as that used for the radio
observations of gas clouds. First, measurements are made of the orbital speed and the size of the orbit of an
object. These numbers are then used to computer the mass needed to keep the object in orbit. However, there is
an important difference.
The orbits of the gas clouds in the disk of the galaxy are fairly well known, whereas those of the distant star
groups are not. The gas clouds lie in a thin disk and move in circles around the center of the galaxy. The distant
star groups lie above and below the disk of the galaxy. They could be moving in circular orbits or they could be
moving in elongated elliptical orbits. Since it takes about a billion years to complete an orbit, it is impossible to
tell what shape the orbits take. This ignorance of the exact orbits could lead astronomers seriously astray. If
astronomers assume that the star group is moving at an average orbital speed they could underestimate the mass
required to keep it in orbit. The best that can be done under these circumstances is to take an average. Assume
that the star groups have on the average an orbit that is midway between a highly elongated orbit and a circular
orbit, and an average speed in these orbits.
Physicists have cautiously concluded that the dark envelope extends to distances of two hundred thousand or
more light-years around the galaxy. The actual mass of the galaxy is somewhere between two and thirty time the
luminous mass. Their best estimate was that it is about five times as massive. This means that at least fifty
percent, and probably as much as eighty percent, of the mass of the galaxy is in the some form of dark matter.
C. Dark Matter in Spiral Galaxies
The rotation of spiral galaxies represents a turning point in the history of the dark matter mystery. Spiral
galaxies, no matter what size, are embedded in dark matter. Research shows that spiral galaxies do indeed have a
massive dark halos. It is a straight solution to measure the rotation of a spiral galaxy. It can be done with radio
telescopes by observing the Doppler shifts of the twenty-one centimeter line from hydrogen gas, or a similar line
from the carbon-monoxide molecules. Another method uses optical telescopes to measure the Doppler shifts of
several spectral lines that stars and gas produce at optical wavelengths. This is accomplished by means of a
spectrograph.
A spectrograph is a device that spreads the light entertaining the telescope into its spectrum of wavelengths, a
broad rainbow of colors running from violet at the short-wave-length end to red at the long-wavelength end. A
spectrograph makes a photograph of a given galaxy’s spectrum, together with a photograph of a reference
spectrum from well-measured laboratory sources. By comparing the two photographs, the Doppler shifts of the
spectral lines can be computed. This information can then been used to analyze the rotation of the galaxy. Once
the rotational velocity of a galaxy at a certain radius from the center of the galaxy is known, the mass of the
galaxy inside that radius can be calculated.
The method is fairly simple, but putting it into practice is not. The difficulty is that the nearest galaxies are
millions of light-years away. The overall amount of light captured from these galaxies is sufficiently great that a
working image can be with a relatively short exposure. However, to measure the Doppler shifts and hence the
rotation of a galaxy, we must accurately measure the light that falls into the spectral lines, each of which can
contain a very small part of the overall light.
Scientists observed a sample of about sixty galaxies choosing a wide range of spiral galaxies: tightly wound
spirals with bright central bulges; spirals with loosely wound, bright arms; large galaxies twenty-five times more
luminous than the Milky Way, and small ones only a quarter as luminous. Observations were that, as scientists
went to the visible edge of a galaxy the rotational velocity did not decrease with the light but remained constant.
It even increased in some cases. The galaxies appear to spinning faster than is possible, if the visible galaxy gives
and indications of its mass. Therefore, scientists stated: “The conclusion is inescapable that non-luminous matter
exists beyond the optical galaxy.”
D. Detecting Dark Matter with Bent Light
Envelopes of dark matter around the galaxies can reveal their presence in indirect ways. A new and
potentially powerful technique uses a subtle effect of dark envelopes to set a significant limit on their average
size and mass. This technique is based on the predicted bending of light by a dark envelope. One of the
5
predictions of Einstein’s general theory of relativity is that a gravitational field will bend a ray of light. Massive
bodies such as stars and galaxies produce warps or dimples in space that are large or small according to whether
a large or small mass is involved. A light ray passing through one of these warps is bent by an amount that
depends on the severity of the warp, that is, the mass of the object, the speed of light, and how close the light ray
come to the object.
The light wave bends because it slows down in a gravitational field around a massive object and because
space is curved around the object. Einstein computes the bending of light in his paper “The Foundation of the
General Theory of Relativity.” A light ray just grazing the Sun is predicted to be deflected by 1.75 arc second –
small, but within the capabilities of the astronomers to measure.The measurements of the shapes of the forty-
seven thousand background galaxies showed no evidence for distortion by gravitational lensing. This allowed a
limit to be set on the average mass of the foreground galaxies in the sample. More precisely, it allowed them to
set limit on the amount of mass in dark envelopes within a certain distance from the center of the galaxy.
E. Dark Matter and Model Universes
Many theoretical astrophysicists are hard at work developing scenarios that they hope will solve the mystery
of dark matter. The most intense activity is in trying to find the solution to the problem of the average mass
density of the Universe. Scientists are trying to find the percentage of dark matter in the Universe, and if the
amount and exact nature of dark matter would determine the fate of the Universe.
The theorists attempt to answer such questions by constructing model Universes and studying their evolution.
They use a large computer to follow the motion of many thousands of particles in hypothetical Universes. The
particles in the model Universes can be mostly baryons, ordinary protons and neutrons, exotic invisible particles
produces in the Big Bang, or a mixture. This varies from model to model.
The simplest scenario is to assume that the matter in the Universe is mostly in the form of baryons since we
know they exist. Most of the baryons, fifty to ninety percent, would have been in some dark form. Unfortunately,
this simple model Universe has difficulty explaining the observed mosaic of galaxies, clusters, super clusters,
and voids. It is known that normal matter remained coupled to electromagnetic radiation, or photon, until the
Universe was about half a million years old. Because of this close coupling between matter and radiation, the
model-Universe builders are not free to choose the initial fluctuations in a purely baryonic Universe.
IV. Conclusion
The evidence for dark matter in the galactic disk comes from studies of the motions of tracer stars. It
indicates that fifty percent of the matter in the disk is in some dark form, and that this matter must be confined to
the disk.
The observations of the rotation of spiral galaxies are surrounded by more or less spherical envelopes of dark
matter. The size of these envelopes is uncertain but they could extent as much as three hundred thousand light-
years from the center of the galaxy.
The mystery of dark matter in the Universe has inexorably drawn the astrophysical community into a state of
deepening crisis. Over the past fifty years, astrophysicists have been developing a picture as to how the Universe
works according to which, the Universe started with a Big Bang, which produced baryonic matter, electron,
photons, and massless neutrinos.
The solution to the dark mystery may lead scientists to revise the current laws of Physics.
Acknowledgements
I would like to thank Dr. Oswald Rendon to instill in me the interest on dark matter. I would like to thank my
mother, Tasneem Riaz and friends, Srishti Srivastava, Nibeer Dewan and Siddarth Kashyap for proof reading my
work.
References
6
1
Wallace Tucker and Karen Tucker, The Dark Matter, Contemporary Science’s Quest for the Mass Hidden in Our
Universe, William Morrow and Company, Inc., New York, Chaps. 1,3, 4,6,14,16.
2
http://www.dailygalaxy.com/my_weblog/2013/01/gravitinos-will-they-unlock-the-mystery-of-dark-matter-
in-the-Universe.html [March 01, 2013]
3
http://science.nasa.gov/astrophysics/focus-areas/what-is-dark-energy/ [March 01, 2013]
4
http://zebu.uoregon.edu/2002/ph123/lec08.html[March 01, 2013]
5
http://public.web.cern.ch/public/en/science/Dark-en.html[March 01, 2013]
6
http://public.web.cern.ch/public/en/lhc/lhc-en.html[March 01, 2013]
7
http://astronomy.swin.edu.au/cosmos/B/baryonic+matter[March 02, 2013]

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  • 1. 1 The Enigma About Dark Matter Sanober Riaz1 Mississippi State University, Mississippi State, Ms 39762 The Universe is believed to be in a balance between being open and closed; the argument being derived from the large-scale structure of the Universe and that the Universe stands in need for a defined amount of matter to acquire this result. Ninety-nine percent of the Universe is believed to be dark matter. Scientists are convinced that we only see one percent of the five percent baryonic matter that is present in the Universe. Information on various subjects about dark matter is showcased in this survey paper. The collection of the possible explanations to what dark matter could be has been briefly discussed. Usually, astronomers classify dark matter as baryonic matter; the fundamental unit of which is an atom consisted of smaller subatomic particles such as proton, electrons and neutrons. There is much plausibility on what dark matter could be, and there is no definite answer to the question today. The enigmatic story of dark matter, which is currently one of the greatest mysteries in the astronomical world, has been discussed in this paper. The main focus of this paper is on describing the reasons that lead us to the believing in the existence of dark matter. I. Introduction During the last couple of decades, the exciting observational developments have significantly increased our understanding of the history of the Universe. A comparable progress has been made in our theoretical understanding of the main processes that govern the evolution of structure in the Universe. The Universe is enormous. It holds innumerous colossal galaxies containing several hundred billion stars. Besides stars, galaxies contain giant clouds of gas and dust, each one with raw material for thousands of new stars. For years, we took for granted that, what astronomers had detected with their telescopes – radiation from stars of all sizes, colors and ages, high-energy particles, gas and dust – was all the galaxies were made of. In recent times, though, evidence has been accumulated that there is more to our habitat than what at first meets the eye through the telescope. Astronomers now suggest that as much as ninety percent of the matter in the Universe must be in some “dark” form that escaped detection. There is a growing knowledge among astronomers that galaxies are embedded in massive clouds of dark matter. Does dark matter exist? If so, does it take the form of black holes, brown dwarfs, or some bizarre type of elementary particle? The mystery of dark matter has become one of the most important issues of the day for anyone who wants to understand what the Universe is and how it works. The dark matter problem is so pervasive that the solution promises to revolutionize astronomy and cosmology. Attention is drawn to the history, Background and related work of dark matter in this paper. II. History Scientists in the astronomical and the cosmological world learned about the existence of dark matter around eighty years back. There is much possibility to what it could be. Even though dark matter is apparently invisible, astrophysicists are much convinced that it exits. It is uncertain what dark matter really is; however scientists have a better knowledge of what it is not rather than what it could be. First, there is a certainty that dark matter is not in the form of stars and planets that we see. Also, it is not in the form of dark clouds of normal matter; matter made up of particles called baryon. By definition, baryonic 1 Student, Department of Aerospace Engineering, 330 Walker at Hardy Rd, Mississippi State, MS 39762, student.
  • 2. 2 matter should only include matter composed of baryons. In other words, it should only include protons, neutrons and all the objects composed of them (i.e. atomic nuclei), but exclude things such as electrons, and neutrinos, which are actually leptons. Second, dark matter is not antimatter, because we do not see the unique gamma rays that are produced when the antimatter annihilates with matter. Finally, the possibility of large galaxy-sized black holes is ruled out, on the basis of how many gravitational lenses are seen. High concentration of matter bend light passing near them from objects further away; but not enough lensing events are seen to suggest that such objects make up the required twenty five percent dark matter contribution. At this point, there are still a few dark matter explanations that are viable. Baryonic matter could still make up the dark matter if it were all tied up in brown dwarfs or in small, dense chunks of heavy elements. These possibilities are known as massive compact halo objects, or MACHO. But the most common vies is that dark matter is not baryonic at all, but that it is made up of other, more exotic particle axions or WIMPS (Weakly Interacting Massive Particles). In the past few years radio and optical telescopes have measured the rate at which stars and gas clouds in the outer parts of spiral galaxies are orbiting the center of mass of those galaxies. Optical photographs show spiral galaxies to be graceful pinwheels of billions of stars, with the light falling off steadily from the central to the outer regions. Since stars produce the light, we naturally expect there to be fewer stars in the outer regions. A galaxy is held together by gravity. It is not a rigid, rotating body. The strength of the gravitational pull or force of a galaxy is proportional to the amount of matter in it. Thus, the force of gravity should be strongest near the center of galaxy, where the matter appears to be concentrated. As the matter thins out along the spiral arms, the gravity should decrease. It then follows that the speed of rotation of the stars and gas clouds should decline from the inner to the outer regions. This was not the observation that was obtained. More powerful instruments have been used to extend the velocity measurements for stars and gas clouds to the outer regions of spiral galaxies. An analysis of these measurements has shown that the stars are not slowing down: they are moving at the same speed as the ones closer in. the gravity of the visible matter is not strong enough to hold these stars in orbit. They should fly off on a tangent, zipping out of the galaxy. But, the galaxies are orbiting as if nothing were wrong.This brought scientists to the conclusion that there is some additional force that comes into play over these large scales, a force that is missing from the calculations of the orbit. This possibility is under active consideration by a small group of astronomers. However, most astronomers are reluctant to scrap the Newton-Einstein theory of gravity, which has served them so well. They prefer to assume that it is correct and explore another alternative to explain the rapid rotation of spiral galaxies. This alternative approach leads to the conclusion that the spiral galaxies contain a large amount of matter that has escaped detections. This could be dark matter, which would produce the extra gravitational force that is needed to keep the stars and gas on the outer edges of spiral galaxies. The first hint of it existence came in 1933, when astronomical observation and calculations of gravitational effects revealed that there must be more of gravitational effects revealed that there must be more to the Universe than telescopes could see. A. Rotation Curves of Galaxies
  • 3. 3 From the above graphs we learn that the mass of galaxy grows with radius. Which draws us to the conclusion that galaxies require dark matter halo. Gravitationally bound halos of different mass-forms have been formed during the cosmological evolution. These halos consist of dark matter and gas. Due to the hydro dynamical interaction of the gas in general, the ratio of gas to dark matter within the halos is different from the mean ratio of 0.15 assumed in the simulation.Baryonic argument: baryonic density fluctuations will not produce galaxies. You need a heavy particle that is not affected by radiation pressure in order to produce galaxies. This means that galaxies are surrounded by dark matter halos, which trapped baryonic gas (e.g. Hydrogen) and turned it into stars. So a galaxy like this is surrounded by an invisible dark matter halo. III. Background and Related Work B. Beyond the Luminous Edge A major puzzle about dark matter is regarding the nature of it. Scientists wonder if it could be similar to the matter we observe – gas, dust, rocks, comets, planets and stars. Will it be possible to observe the dark matter in our galaxy? That will depend on how “dark” it actually is. Darkness, in astronomy, is measured relative sunlight. How, then, can a star be considered dark? Stars produce energy by the same process as the sun – thermonuclear reactions in the interior. A simple rule applies: The more massive a star is, the more efficiently it radiates. Dark matter is material that gravitates but does not emit very much light. More specifically, it is material, which has a high ratio of mass-to-luminosity. Researchers now estimate that the gravitational effect of dark matter makes galaxies spin faster than expected, and that its gravitational field deviates the light of objects behind it. Measurements of these effects show that dark matter exists, and they can be used to estimate the density of dark matter even though we cannot directly observe it. Recent studies show that galaxies are embedded in a huge envelope of dark matter. When a galaxy is called to be luminous, it is only like the rip of an iceberg. The luminous matter represents at most fifty percent of the actual matter in the galaxy. The remaining matter may be concealed in an ocean of dark stars or exotic particles. The first evidence of an envelope of dark matter around our galaxy came from radio observations. Radio astronomers have developed techniques for measuring the speeds at which the clouds of gas are orbiting the center of our galaxy. From these observations, the mass of the galaxy can be deduced. The technique involves the use of Doppler effect. Interstellar clouds of gas have distinctive features in their radio radiation. These can be measure and translated into speeds toward or away from Earth. Scientists have the idea that dark matter could contain ‘super-symmetric particles’ – hypothesized particles that are partners to those already known in the Standard Model. Experiments at the Large Hadron Collider (LHC) may be able to find them. LHC is a gigantic scientific instrument near Geneva, where it spans the border between Switzerland and France about hundred meters underground. It is a particle accelerator used by physicists to study the smallest known particles – the fundamental building blocks of all things. Radio astronomers have set up a galactic speed trap to measure the speed of hydrogen gas clouds in our galaxy. If the cloud is moving towards Earth, the radiation is shifted to shorter wavelengths to a degree that depends on how fast it is moving. If the cloud is moving away from Earth, the radiation I shifted to longer wavelengths. The key to the application of this method is to find distinctive reference features of the radio
  • 4. 4 radiation from interstellar gas clouds. Nature has provided astronomers with a number of such reference features in the radiation from stars and clouds of gas. Sometimes electrons get torn away from the atoms and become free electrons. There are few restrictions on the type of motion that free electrons can perform. They may oscillate very rapidly, which produces high- frequency radiation, or very slowly, which produces low-frequency radiation, or at some intermediate rate, which produces radiation at some intermediate frequency. How extensive is the envelope of dark matter? The technique is basically the same as that used for the radio observations of gas clouds. First, measurements are made of the orbital speed and the size of the orbit of an object. These numbers are then used to computer the mass needed to keep the object in orbit. However, there is an important difference. The orbits of the gas clouds in the disk of the galaxy are fairly well known, whereas those of the distant star groups are not. The gas clouds lie in a thin disk and move in circles around the center of the galaxy. The distant star groups lie above and below the disk of the galaxy. They could be moving in circular orbits or they could be moving in elongated elliptical orbits. Since it takes about a billion years to complete an orbit, it is impossible to tell what shape the orbits take. This ignorance of the exact orbits could lead astronomers seriously astray. If astronomers assume that the star group is moving at an average orbital speed they could underestimate the mass required to keep it in orbit. The best that can be done under these circumstances is to take an average. Assume that the star groups have on the average an orbit that is midway between a highly elongated orbit and a circular orbit, and an average speed in these orbits. Physicists have cautiously concluded that the dark envelope extends to distances of two hundred thousand or more light-years around the galaxy. The actual mass of the galaxy is somewhere between two and thirty time the luminous mass. Their best estimate was that it is about five times as massive. This means that at least fifty percent, and probably as much as eighty percent, of the mass of the galaxy is in the some form of dark matter. C. Dark Matter in Spiral Galaxies The rotation of spiral galaxies represents a turning point in the history of the dark matter mystery. Spiral galaxies, no matter what size, are embedded in dark matter. Research shows that spiral galaxies do indeed have a massive dark halos. It is a straight solution to measure the rotation of a spiral galaxy. It can be done with radio telescopes by observing the Doppler shifts of the twenty-one centimeter line from hydrogen gas, or a similar line from the carbon-monoxide molecules. Another method uses optical telescopes to measure the Doppler shifts of several spectral lines that stars and gas produce at optical wavelengths. This is accomplished by means of a spectrograph. A spectrograph is a device that spreads the light entertaining the telescope into its spectrum of wavelengths, a broad rainbow of colors running from violet at the short-wave-length end to red at the long-wavelength end. A spectrograph makes a photograph of a given galaxy’s spectrum, together with a photograph of a reference spectrum from well-measured laboratory sources. By comparing the two photographs, the Doppler shifts of the spectral lines can be computed. This information can then been used to analyze the rotation of the galaxy. Once the rotational velocity of a galaxy at a certain radius from the center of the galaxy is known, the mass of the galaxy inside that radius can be calculated. The method is fairly simple, but putting it into practice is not. The difficulty is that the nearest galaxies are millions of light-years away. The overall amount of light captured from these galaxies is sufficiently great that a working image can be with a relatively short exposure. However, to measure the Doppler shifts and hence the rotation of a galaxy, we must accurately measure the light that falls into the spectral lines, each of which can contain a very small part of the overall light. Scientists observed a sample of about sixty galaxies choosing a wide range of spiral galaxies: tightly wound spirals with bright central bulges; spirals with loosely wound, bright arms; large galaxies twenty-five times more luminous than the Milky Way, and small ones only a quarter as luminous. Observations were that, as scientists went to the visible edge of a galaxy the rotational velocity did not decrease with the light but remained constant. It even increased in some cases. The galaxies appear to spinning faster than is possible, if the visible galaxy gives and indications of its mass. Therefore, scientists stated: “The conclusion is inescapable that non-luminous matter exists beyond the optical galaxy.” D. Detecting Dark Matter with Bent Light Envelopes of dark matter around the galaxies can reveal their presence in indirect ways. A new and potentially powerful technique uses a subtle effect of dark envelopes to set a significant limit on their average size and mass. This technique is based on the predicted bending of light by a dark envelope. One of the
  • 5. 5 predictions of Einstein’s general theory of relativity is that a gravitational field will bend a ray of light. Massive bodies such as stars and galaxies produce warps or dimples in space that are large or small according to whether a large or small mass is involved. A light ray passing through one of these warps is bent by an amount that depends on the severity of the warp, that is, the mass of the object, the speed of light, and how close the light ray come to the object. The light wave bends because it slows down in a gravitational field around a massive object and because space is curved around the object. Einstein computes the bending of light in his paper “The Foundation of the General Theory of Relativity.” A light ray just grazing the Sun is predicted to be deflected by 1.75 arc second – small, but within the capabilities of the astronomers to measure.The measurements of the shapes of the forty- seven thousand background galaxies showed no evidence for distortion by gravitational lensing. This allowed a limit to be set on the average mass of the foreground galaxies in the sample. More precisely, it allowed them to set limit on the amount of mass in dark envelopes within a certain distance from the center of the galaxy. E. Dark Matter and Model Universes Many theoretical astrophysicists are hard at work developing scenarios that they hope will solve the mystery of dark matter. The most intense activity is in trying to find the solution to the problem of the average mass density of the Universe. Scientists are trying to find the percentage of dark matter in the Universe, and if the amount and exact nature of dark matter would determine the fate of the Universe. The theorists attempt to answer such questions by constructing model Universes and studying their evolution. They use a large computer to follow the motion of many thousands of particles in hypothetical Universes. The particles in the model Universes can be mostly baryons, ordinary protons and neutrons, exotic invisible particles produces in the Big Bang, or a mixture. This varies from model to model. The simplest scenario is to assume that the matter in the Universe is mostly in the form of baryons since we know they exist. Most of the baryons, fifty to ninety percent, would have been in some dark form. Unfortunately, this simple model Universe has difficulty explaining the observed mosaic of galaxies, clusters, super clusters, and voids. It is known that normal matter remained coupled to electromagnetic radiation, or photon, until the Universe was about half a million years old. Because of this close coupling between matter and radiation, the model-Universe builders are not free to choose the initial fluctuations in a purely baryonic Universe. IV. Conclusion The evidence for dark matter in the galactic disk comes from studies of the motions of tracer stars. It indicates that fifty percent of the matter in the disk is in some dark form, and that this matter must be confined to the disk. The observations of the rotation of spiral galaxies are surrounded by more or less spherical envelopes of dark matter. The size of these envelopes is uncertain but they could extent as much as three hundred thousand light- years from the center of the galaxy. The mystery of dark matter in the Universe has inexorably drawn the astrophysical community into a state of deepening crisis. Over the past fifty years, astrophysicists have been developing a picture as to how the Universe works according to which, the Universe started with a Big Bang, which produced baryonic matter, electron, photons, and massless neutrinos. The solution to the dark mystery may lead scientists to revise the current laws of Physics. Acknowledgements I would like to thank Dr. Oswald Rendon to instill in me the interest on dark matter. I would like to thank my mother, Tasneem Riaz and friends, Srishti Srivastava, Nibeer Dewan and Siddarth Kashyap for proof reading my work. References
  • 6. 6 1 Wallace Tucker and Karen Tucker, The Dark Matter, Contemporary Science’s Quest for the Mass Hidden in Our Universe, William Morrow and Company, Inc., New York, Chaps. 1,3, 4,6,14,16. 2 http://www.dailygalaxy.com/my_weblog/2013/01/gravitinos-will-they-unlock-the-mystery-of-dark-matter- in-the-Universe.html [March 01, 2013] 3 http://science.nasa.gov/astrophysics/focus-areas/what-is-dark-energy/ [March 01, 2013] 4 http://zebu.uoregon.edu/2002/ph123/lec08.html[March 01, 2013] 5 http://public.web.cern.ch/public/en/science/Dark-en.html[March 01, 2013] 6 http://public.web.cern.ch/public/en/lhc/lhc-en.html[March 01, 2013] 7 http://astronomy.swin.edu.au/cosmos/B/baryonic+matter[March 02, 2013]