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Ash Danehkar
Eureka Scientific, Oakland, CA 94602, USA
danehkar@eurekasci.com
Bayesian X-ray Spectral Analysis of
Black Hole Spins in Seyfert I AGN
Image
credit:
NASA/JPL-Caltech
2
240th AAS Summer Meeting
June 14, 2022
Black Hole Spin Implications
Dermer & Giebles 2016
3
240th AAS Summer Meeting
June 14, 2022
Black Hole Spin Measurement
Different Methods (see Brenneman 2013):

X-ray Relativistic Reflection Modeling of Innermost Regions
 AGN, Stellar-mass BH, & Neutron Stars

Fitting UV Thermal Continuum
 Suitable for Stellar-mass BH
 Problematic in AGN due to UV absorption lines

High Frequency Quasi-Periodic Oscillations
 AGN + stellar-mass black hole (not yet fully developed)

X-ray Polarimetry
 X-ray polarimeter (in development, e.g. IXPE and XL-Calibur by Henric Krawczynski)

Event Horizon Shadow Imaging
 with Very Long Baseline Interferometry (in development)
 Suitable for Sgr A* and M87
4
240th AAS Summer Meeting
June 14, 2022
Relativistic Reflection Modeling
Credit: Neil Brandt
BH Spin from Reflection Modeling

relline (Dauser + 2010): relativistic line model

xillver (Garcia + 2010,11,13): non-relativistic reflection disk

relline + xillver = relxill (Garcia + 2014)
Fabian + 2000
5
240th AAS Summer Meeting
June 14, 2022
Relativistic Reflection Modeling
Image credit: NASA/JPL-Caltech
a = -1
a = 0
a = 1
6
240th AAS Summer Meeting
June 14, 2022
Relativistic Reflection Modeling
Image credit: NASA/Dana Berry,SkyWorks Digital
Credit: Javier García
Danehkar + 2022
7
240th AAS Summer Meeting
June 14, 2022
Fitting Reflection Model
Relativistic Reflection Modeling of the Innermost Regions
tbnew * warmabs* (diskbb+ relxill[relativistic reflection] + xillver[distant reflection])
Danehkar + 2022
8
240th AAS Summer Meeting
June 14, 2022
Bayesian MCMC-based Fitting
Danehkar + 2022
pyBLoCXS “Bayesian Low-Count X-ray Spectral Analysis in Python”
(van Dyk + 2001; Protassov + 2002; Lee + 2011; Xu + 2014)
https://hea-www.harvard.edu/AstroStat/pyBLoCXS/

Sherpa: CIAO's Modeling & Fitting Application
https://cxc.cfa.harvard.edu/sherpa/

pyBLoCXS used for several X-ray spectral modeling
(see e.g. Danehkar + 2021 MNRAS 500, 4801)
Model Parameters:

Black Hole Spin (a)

Inclination (i)

Power-law Photon Index (Γpl)

Innermost Ionization Parameter (log ξrel)

Iron Abundance (AFe)

Distant Ionization Parameter (log ξxil)
9
240th AAS Summer Meeting
June 14, 2022
Final Remarks and Future Plan
The best-fitting SMBH spins depends on:

iron abundances (in agreement with Reynolds +2012)

other model parameters e.g. inclination
Future Directions
MCMC-based analysis of other radio-quiet AGN:

Verifying SMBH spins previously found by assuming
the solar composition and fixed inclinations.
Examining other reflection models:

relxill_nk: Testing Einstein’s Gravity
(non-Kerr; Cosimo Bambi + 2018)
Kerr metric: α13 = α22 = 0
(deformation parameters).

relline_lp: coronal and lamp
post geometry:
h : height of the primary source
above the black hole.
Credit: Javier García
Thank you for your attention
Supported by the NASA ADAP Grant 80NSSC22K0626.
Image
credit:
NASA/JPL-Caltech

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Bayesian X-ray Spectral Analysis of Black Hole Spins in Seyfert I AGN

  • 1. Ash Danehkar Eureka Scientific, Oakland, CA 94602, USA danehkar@eurekasci.com Bayesian X-ray Spectral Analysis of Black Hole Spins in Seyfert I AGN Image credit: NASA/JPL-Caltech
  • 2. 2 240th AAS Summer Meeting June 14, 2022 Black Hole Spin Implications Dermer & Giebles 2016
  • 3. 3 240th AAS Summer Meeting June 14, 2022 Black Hole Spin Measurement Different Methods (see Brenneman 2013):  X-ray Relativistic Reflection Modeling of Innermost Regions  AGN, Stellar-mass BH, & Neutron Stars  Fitting UV Thermal Continuum  Suitable for Stellar-mass BH  Problematic in AGN due to UV absorption lines  High Frequency Quasi-Periodic Oscillations  AGN + stellar-mass black hole (not yet fully developed)  X-ray Polarimetry  X-ray polarimeter (in development, e.g. IXPE and XL-Calibur by Henric Krawczynski)  Event Horizon Shadow Imaging  with Very Long Baseline Interferometry (in development)  Suitable for Sgr A* and M87
  • 4. 4 240th AAS Summer Meeting June 14, 2022 Relativistic Reflection Modeling Credit: Neil Brandt BH Spin from Reflection Modeling  relline (Dauser + 2010): relativistic line model  xillver (Garcia + 2010,11,13): non-relativistic reflection disk  relline + xillver = relxill (Garcia + 2014) Fabian + 2000
  • 5. 5 240th AAS Summer Meeting June 14, 2022 Relativistic Reflection Modeling Image credit: NASA/JPL-Caltech a = -1 a = 0 a = 1
  • 6. 6 240th AAS Summer Meeting June 14, 2022 Relativistic Reflection Modeling Image credit: NASA/Dana Berry,SkyWorks Digital Credit: Javier García Danehkar + 2022
  • 7. 7 240th AAS Summer Meeting June 14, 2022 Fitting Reflection Model Relativistic Reflection Modeling of the Innermost Regions tbnew * warmabs* (diskbb+ relxill[relativistic reflection] + xillver[distant reflection]) Danehkar + 2022
  • 8. 8 240th AAS Summer Meeting June 14, 2022 Bayesian MCMC-based Fitting Danehkar + 2022 pyBLoCXS “Bayesian Low-Count X-ray Spectral Analysis in Python” (van Dyk + 2001; Protassov + 2002; Lee + 2011; Xu + 2014) https://hea-www.harvard.edu/AstroStat/pyBLoCXS/  Sherpa: CIAO's Modeling & Fitting Application https://cxc.cfa.harvard.edu/sherpa/  pyBLoCXS used for several X-ray spectral modeling (see e.g. Danehkar + 2021 MNRAS 500, 4801) Model Parameters:  Black Hole Spin (a)  Inclination (i)  Power-law Photon Index (Γpl)  Innermost Ionization Parameter (log ξrel)  Iron Abundance (AFe)  Distant Ionization Parameter (log ξxil)
  • 9. 9 240th AAS Summer Meeting June 14, 2022 Final Remarks and Future Plan The best-fitting SMBH spins depends on:  iron abundances (in agreement with Reynolds +2012)  other model parameters e.g. inclination Future Directions MCMC-based analysis of other radio-quiet AGN:  Verifying SMBH spins previously found by assuming the solar composition and fixed inclinations. Examining other reflection models:  relxill_nk: Testing Einstein’s Gravity (non-Kerr; Cosimo Bambi + 2018) Kerr metric: α13 = α22 = 0 (deformation parameters).  relline_lp: coronal and lamp post geometry: h : height of the primary source above the black hole. Credit: Javier García
  • 10. Thank you for your attention Supported by the NASA ADAP Grant 80NSSC22K0626. Image credit: NASA/JPL-Caltech