Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.
Time Travel in the Schwarzschild Space-time<br />Yuhao Yang<br />Sept 2010<br />
Outline<br />Introduction to general relativity <br />The Schwarzschild wormhole <br />Dynamic properties of the wormhole<...
Introduction to General Relativity<br />Special theory of relativity<br />General theory of relativity<br />Classical law ...
Einstein & Schwarzschild<br />Karl Schwarzschild <br />(October 9, 1873 – May 11, 1916) <br />Albert Einstein <br />(March...
The Schwarzschild Solution<br />Spherical<br />Conditions<br />Non-rotating<br />Schwarzschild Solution<br />Vacuum<br />B...
A Wormhole is built!<br />A bridge which connects two distant flat regions in the space-time<br />The Einstein-Rosen Bridg...
Two types of Einstein-Rosen Bridges<br />m<0 -> no event horizon -> construction ×<br />{<br />Neutral bridge<br />(massiv...
Wormhole for Time Travel?<br />Dynamic Properties of the Bridge<br />Too rapid!<br />Impossible to pass through!<br />Crea...
Possible Solutions<br />Establish a relation between singularities<br />-> contradiction with Einstein’s equations?<br />M...
Summary and Future Developments<br />The Schwarzschild Geometry suggests the existence of a wormhole<br />The Schwarzschil...
-> Quantum gravity</li></li></ul><li>Thank you!<br />
Upcoming SlideShare
Loading in …5
×

The schwarzschild spacetime

1,295 views

Published on

time travel in the schwarzschild spacetime

Published in: Technology
  • Be the first to comment

The schwarzschild spacetime

  1. 1. Time Travel in the Schwarzschild Space-time<br />Yuhao Yang<br />Sept 2010<br />
  2. 2.
  3. 3. Outline<br />Introduction to general relativity <br />The Schwarzschild wormhole <br />Dynamic properties of the wormhole<br />Time travel through the wormhole<br />Summary and future developments<br />
  4. 4. Introduction to General Relativity<br />Special theory of relativity<br />General theory of relativity<br />Classical law of gravitation<br />the space-time near a massive object -> bended/ curved<br />the equation of motion -> the shortest path (geodesic line)<br />
  5. 5. Einstein & Schwarzschild<br />Karl Schwarzschild <br />(October 9, 1873 – May 11, 1916) <br />Albert Einstein <br />(March 14,1879 – April 18, 1955) <br />
  6. 6. The Schwarzschild Solution<br />Spherical<br />Conditions<br />Non-rotating<br />Schwarzschild Solution<br />Vacuum<br />Black Hole<br />Predictions<br />Wormhole<br />
  7. 7. A Wormhole is built!<br />A bridge which connects two distant flat regions in the space-time<br />The Einstein-Rosen Bridge<br />
  8. 8. Two types of Einstein-Rosen Bridges<br />m<0 -> no event horizon -> construction ×<br />{<br />Neutral bridge<br />(massive, chargeless)<br />Generalized bridge<br />Quasi-charged bridge<br />(charged, massless)<br />ε>0 -> no event horizon <br />-> construction ×<br />The key to the construction of the bridge is the existence of an event horizon!<br />
  9. 9. Wormhole for Time Travel?<br />Dynamic Properties of the Bridge<br />Too rapid!<br />Impossible to pass through!<br />Creation<br />Contraction<br />Expansion<br />
  10. 10. Possible Solutions<br />Establish a relation between singularities<br />-> contradiction with Einstein’s equations?<br />Modify the space-time topology<br />-> creation of conical singularity?<br />-> violation of causality?<br />
  11. 11. Summary and Future Developments<br />The Schwarzschild Geometry suggests the existence of a wormhole<br />The Schwarzschild wormhole cannot be used to realize time travel because of its rapid dynamic motions<br />Future developments<br /><ul><li>-> Topological structures
  12. 12. -> Quantum gravity</li></li></ul><li>Thank you!<br />

×