Observational tests of the black hole area increase law
Abstract
The black hole area theorem implies that when two black holes merge, the area of the final black hole should be greater than the sum of the areas of the two original black holes. In this study, we examine how this prediction can be tested with gravitational-wave observations of binary black holes. By separately fitting the early inspiral and final ringdown stages, we calculate the posterior distributions for the masses and spins of the two initial and the final black holes. This yields posterior distributions for the change in the area and thus a statistical test of the validity of the area increase law. We illustrate this method with a GW150914-like binary black hole waveform calculated using numerical relativity, and detector sensitivities representative of both the first observing run and the design configuration of Advanced LIGO. We obtain a ~74.6 % probability that the simulated signal is consistent with the area theorem with current sensitivity, improving to ~99.9 % when Advanced LIGO reaches design sensitivity. Lastly, an important ingredient in our test is a method of estimating when the postmerger signal is well fit by a damped sinusoid ringdown waveform.
- Authors:
-
- Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Hannover (Germany); Leibniz Universität Hannover (Germany)
- Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Hannover (Germany); Leibniz Universität Hannover (Germany); Rochester Institute of Technology, NY (United States)
- Syracuse Univ., NY (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE; National Science Foundation (NSF)
- OSTI Identifier:
- 1484646
- Report Number(s):
- LA-UR-18-24294
Journal ID: ISSN 2470-0010; PRVDAQ
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 12; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Cabero, Miriam, Capano, Collin D., Fischer-Birnholtz, Ofek, Krishnan, Badri, Nielsen, Alex B., Nitz, Alexander H., and Biwer, Christopher Michael. Observational tests of the black hole area increase law. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.124069.
Cabero, Miriam, Capano, Collin D., Fischer-Birnholtz, Ofek, Krishnan, Badri, Nielsen, Alex B., Nitz, Alexander H., & Biwer, Christopher Michael. Observational tests of the black hole area increase law. United States. https://doi.org/10.1103/PhysRevD.97.124069
Cabero, Miriam, Capano, Collin D., Fischer-Birnholtz, Ofek, Krishnan, Badri, Nielsen, Alex B., Nitz, Alexander H., and Biwer, Christopher Michael. Thu .
"Observational tests of the black hole area increase law". United States. https://doi.org/10.1103/PhysRevD.97.124069. https://www.osti.gov/servlets/purl/1484646.
@article{osti_1484646,
title = {Observational tests of the black hole area increase law},
author = {Cabero, Miriam and Capano, Collin D. and Fischer-Birnholtz, Ofek and Krishnan, Badri and Nielsen, Alex B. and Nitz, Alexander H. and Biwer, Christopher Michael},
abstractNote = {The black hole area theorem implies that when two black holes merge, the area of the final black hole should be greater than the sum of the areas of the two original black holes. In this study, we examine how this prediction can be tested with gravitational-wave observations of binary black holes. By separately fitting the early inspiral and final ringdown stages, we calculate the posterior distributions for the masses and spins of the two initial and the final black holes. This yields posterior distributions for the change in the area and thus a statistical test of the validity of the area increase law. We illustrate this method with a GW150914-like binary black hole waveform calculated using numerical relativity, and detector sensitivities representative of both the first observing run and the design configuration of Advanced LIGO. We obtain a ~74.6 % probability that the simulated signal is consistent with the area theorem with current sensitivity, improving to ~99.9 % when Advanced LIGO reaches design sensitivity. Lastly, an important ingredient in our test is a method of estimating when the postmerger signal is well fit by a damped sinusoid ringdown waveform.},
doi = {10.1103/PhysRevD.97.124069},
journal = {Physical Review D},
number = 12,
volume = 97,
place = {United States},
year = {Thu Jun 28 00:00:00 EDT 2018},
month = {Thu Jun 28 00:00:00 EDT 2018}
}
Web of Science
Works referenced in this record:
New theoretical approaches to black holes
journal, May 2008
- Gourgoulhon, Eric; Jaramillo, José Luis
- New Astronomy Reviews, Vol. 51, Issue 10-12
The four laws of black hole mechanics
journal, June 1973
- Bardeen, J. M.; Carter, B.; Hawking, S. W.
- Communications in Mathematical Physics, Vol. 31, Issue 2
Black holes and the second law
journal, August 1972
- Bekenstein, J. D.
- Lettere Al Nuovo Cimento Series 2, Vol. 4, Issue 15
Gravitational Radiation from Colliding Black Holes
journal, May 1971
- Hawking, S. W.
- Physical Review Letters, Vol. 26, Issue 21
Testing general relativity using gravitational wave signals from the inspiral, merger and ringdown of binary black holes
journal, November 2017
- Ghosh, Abhirup; Johnson-McDaniel, Nathan K.; Ghosh, Archisman
- Classical and Quantum Gravity, Vol. 35, Issue 1
Black holes in general relativity
journal, June 1972
- Hawking, S. W.
- Communications in Mathematical Physics, Vol. 25, Issue 2
Dynamical horizons and their properties
journal, November 2003
- Ashtekar, Abhay; Krishnan, Badri
- Physical Review D, Vol. 68, Issue 10
Golden Binary Gravitational‐Wave Sources: Robust Probes of Strong‐Field Gravity
journal, April 2005
- Hughes, Scott A.; Menou, Kristen
- The Astrophysical Journal, Vol. 623, Issue 2
Remnant mass, spin, and recoil from spin aligned black-hole binaries
journal, November 2014
- Healy, James; Lousto, Carlos O.; Zlochower, Yosef
- Physical Review D, Vol. 90, Issue 10
The Final spin from Binary Black Holes in Quasi-Circular Orbits
journal, July 2016
- Hofmann, Fabian; Barausse, Enrico; Rezzolla, Luciano
- The Astrophysical Journal, Vol. 825, Issue 2
Regularity of Horizons and the Area Theorem
journal, February 2001
- Chruściel, Piotr T.; Delay, Erwann; Galloway, Gregory J.
- Annales Henri Poincaré, Vol. 2, Issue 1
Hierarchical data-driven approach to fitting numerical relativity data for nonprecessing binary black holes with an application to final spin and radiated energy
journal, March 2017
- Jiménez-Forteza, Xisco; Keitel, David; Husa, Sascha
- Physical Review D, Vol. 95, Issue 6
Parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
journal, February 2015
- Veitch, J.; Raymond, V.; Farr, B.
- Physical Review D, Vol. 91, Issue 4
Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
journal, October 2009
- Buonanno, Alessandra; Iyer, Bala R.; Ochsner, Evan
- Physical Review D, Vol. 80, Issue 8
On choosing the start time of binary black hole ringdowns
journal, May 2018
- Bhagwat, Swetha; Okounkova, Maria; Ballmer, Stefan W.
- Physical Review D, Vol. 97, Issue 10
Collision of two black holes: Theoretical framework
journal, November 1976
- Smarr, Larry; Čadež, Andrej; DeWitt, Bryce
- Physical Review D, Vol. 14, Issue 10
Quasinormal modes of black holes and black branes
journal, July 2009
- Berti, Emanuele; Cardoso, Vitor; Starinets, Andrei O.
- Classical and Quantum Gravity, Vol. 26, Issue 16
Catalog of 174 Binary Black Hole Simulations for Gravitational Wave Astronomy
journal, December 2013
- Mroué, Abdul H.; Scheel, Mark A.; Szilágyi, Béla
- Physical Review Letters, Vol. 111, Issue 24
Isolated and Dynamical Horizons and Their Applications
journal, December 2004
- Ashtekar, Abhay; Krishnan, Badri
- Living Reviews in Relativity, Vol. 7, Issue 1
Black-hole spectroscopy: testing general relativity through gravitational-wave observations
journal, January 2004
- Dreyer, Olaf; Kelly, Bernard; Krishnan, Badri
- Classical and Quantum Gravity, Vol. 21, Issue 4
The LIGO Open Science Center
journal, May 2015
- Vallisneri, Michele; Kanner, Jonah; Williams, Roy
- Journal of Physics: Conference Series, Vol. 610
Testing general relativity using golden black-hole binaries
journal, July 2016
- Ghosh, Abhirup; Ghosh, Archisman; Johnson-McDaniel, Nathan K.
- Physical Review D, Vol. 94, Issue 2
Matched filtering and parameter estimation of ringdown waveforms
journal, November 2007
- Berti, Emanuele; Cardoso, Jaime; Cardoso, Vitor
- Physical Review D, Vol. 76, Issue 10
Black-hole hair loss: Learning about binary progenitors from ringdown signals
journal, January 2012
- Kamaretsos, Ioannis; Hannam, Mark; Husa, Sascha
- Physical Review D, Vol. 85, Issue 2
Event and Apparent Horizon Finders for 3 + 1 Numerical Relativity
journal, June 2007
- Thornburg, Jonathan
- Living Reviews in Relativity, Vol. 10, Issue 1
Quasi-Normal Modes of Stars and Black Holes
journal, September 1999
- Kokkotas, Kostas D.; Schmidt, Bernd G.
- Living Reviews in Relativity, Vol. 2, Issue 1
Method for detection and reconstruction of gravitational wave transients with networks of advanced detectors
journal, February 2016
- Klimenko, S.; Vedovato, G.; Drago, M.
- Physical Review D, Vol. 93, Issue 4
Minimum energy and the end of the inspiral in the post-Newtonian approximation
journal, March 2017
- Cabero, Miriam; Nielsen, Alex B.; Lundgren, Andrew P.
- Physical Review D, Vol. 95, Issue 6
Modeling ringdown: Beyond the fundamental quasinormal modes
journal, December 2014
- London, Lionel; Shoemaker, Deirdre; Healy, James
- Physical Review D, Vol. 90, Issue 12
An Analytic Representation for the Quasi-Normal Modes of Kerr Black Holes
journal, December 1985
- Leaver, E. W.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 402, Issue 1823
Bayesian model selection for testing the no-hair theorem with black hole ringdowns
journal, June 2012
- Gossan, S.; Veitch, J.; Sathyaprakash, B. S.
- Physical Review D, Vol. 85, Issue 12
Challenges for testing the no-hair theorem with current and planned gravitational-wave detectors
journal, November 2017
- Thrane, Eric; Lasky, Paul D.; Levin, Yuri
- Physical Review D, Vol. 96, Issue 10
Properties of the Binary Black Hole Merger GW150914
journal, June 2016
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 116, Issue 24
Horizons Non-Differentiable on a Dense Set
journal, April 1998
- Chruściel, Piotr T.; Galloway, Gregory J.
- Communications in Mathematical Physics, Vol. 193, Issue 2
Black-hole boundaries
journal, November 2005
- Booth, Ivan
- Canadian Journal of Physics, Vol. 83, Issue 11
GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
journal, June 2016
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 116, Issue 24
Binary Black Hole Mergers in the First Advanced LIGO Observing Run
journal, October 2016
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review X, Vol. 6, Issue 4
High energy collisions of black holes numerically revisited
journal, November 2016
- Healy, James; Ruchlin, Ian; Lousto, Carlos O.
- Physical Review D, Vol. 94, Issue 10
Spin-induced orbital precession and its modulation of the gravitational waveforms from merging binaries
journal, June 1994
- Apostolatos, Theocharis A.; Cutler, Curt; Sussman, Gerald J.
- Physical Review D, Vol. 49, Issue 12
Observation of Gravitational Waves from a Binary Black Hole Merger
journal, February 2016
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 116, Issue 6
GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
journal, June 2017
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 118, Issue 22
GW170608: Observation of a 19 Solar-mass Binary Black Hole Coalescence
journal, December 2017
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- The Astrophysical Journal, Vol. 851, Issue 2
Frequency-domain gravitational waves from nonprecessing black-hole binaries. II. A phenomenological model for the advanced detector era
journal, February 2016
- Khan, Sebastian; Husa, Sascha; Hannam, Mark
- Physical Review D, Vol. 93, Issue 4
Data analysis of gravitational-wave signals from spinning neutron stars: The signal and its detection
journal, August 1998
- Jaranowski, Piotr; Królak, Andrzej; Schutz, Bernard F.
- Physical Review D, Vol. 58, Issue 6
A new metric for probability distributions
journal, July 2003
- Endres, D. M.; Schindelin, J. E.
- IEEE Transactions on Information Theory, Vol. 49, Issue 7
Gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
journal, March 2006
- Berti, Emanuele; Cardoso, Vitor; Will, Clifford M.
- Physical Review D, Vol. 73, Issue 6
Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions
journal, January 2006
- Berti, Emanuele; Cardoso, Vitor; Casals, Marc
- Physical Review D, Vol. 73, Issue 2
Twilight for the Energy Conditions?
journal, December 2002
- BarcelÓ, Carlos; Visser, Matt
- International Journal of Modern Physics D, Vol. 11, Issue 10
Black hole spectroscopy: Systematic errors and ringdown energy estimates
journal, February 2018
- Baibhav, Vishal; Berti, Emanuele; Cardoso, Vitor
- Physical Review D, Vol. 97, Issue 4
Frequency-domain gravitational waves from nonprecessing black-hole binaries. I. New numerical waveforms and anatomy of the signal
journal, February 2016
- Husa, Sascha; Khan, Sebastian; Hannam, Mark
- Physical Review D, Vol. 93, Issue 4
Parameter estimation on compact binary coalescences with abruptly terminating gravitational waveforms
journal, July 2014
- Mandel, Ilya; Berry, Christopher P. L.; Ohme, Frank
- Classical and Quantum Gravity, Vol. 31, Issue 15
GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
journal, October 2017
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 119, Issue 14
Theoretical physics implications of the binary black-hole mergers GW150914 and GW151226
journal, October 2016
- Yunes, Nicolás; Yagi, Kent; Pretorius, Frans
- Physical Review D, Vol. 94, Issue 8
Binary Black Hole Mergers in the First Advanced LIGO Observing Run
other, January 2016
- Abbott, B. P.; Vahlbruch, H.; Willke, Benno
- College Park, MD : American Physical Society
GW170608: Observation of a 19 Solar-mass Binary Black Hole Coalescence
other, January 2017
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Bristol : Institute of Physics Publishing
Black holes in general relativity
conference, October 2009
- Visser, Matt
- Proceedings of Black Holes in General Relativity and String Theory — PoS(BHs, GR and Strings)
GW170814: a three-detector observation of gravitational waves from a binary black hole coalescence
text, January 2017
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- American Physical Society
Properties of the Binary Black Hole Merger GW150914
other, January 2016
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- College Park, MD : American Physical Society
GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
other, January 2016
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- College Park, MD : American Physical Society
GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
other, January 2017
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- College Park, MD : American Physical Society
Matched-filtering and parameter estimation of ringdown waveforms
text, January 2007
- Berti, Emanuele; Cardoso, Jaime; Cardoso, Vitor
- arXiv
New theoretical approaches to black holes
text, January 2008
- Gourgoulhon, Eric; Jaramillo, Jose Luis
- arXiv
Parameter estimation on compact binary coalescences with abruptly terminating gravitational waveforms
text, January 2014
- Mandel, Ilya; Berry, Christopher P. L.; Ohme, Frank
- arXiv
Modeling Ringdown: Beyond the Fundamental Quasi-Normal Modes
text, January 2014
- London, Lionel; Healy, James; Shoemaker, Deirdre
- arXiv
Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
text, January 2014
- Veitch, John; Raymond, Vivien; Farr, Benjamin
- arXiv
High Energy Collisions of Black Holes Numerically Revisited
text, January 2015
- Healy, James; Ruchlin, Ian; Lousto, Carlos O.
- arXiv
Frequency-domain gravitational waves from non-precessing black-hole binaries. I. New numerical waveforms and anatomy of the signal
text, January 2015
- Husa, Sascha; Khan, Sebastian; Hannam, Mark
- arXiv
Method for detection and reconstruction of gravitational wave transients with networks of advanced detectors
text, January 2015
- Klimenko, S.; Vedovato, G.; Drago, M.
- arXiv
Minimum energy and the end of the inspiral in the post-Newtonian approximation
text, January 2016
- Cabero, Miriam; Nielsen, Alex B.; Lundgren, Andrew P.
- arXiv
The final spin from binary black holes in quasi-circular orbits
text, January 2016
- Hofmann, Fabian; Barausse, Enrico; Rezzolla, Luciano
- arXiv
Hierarchical data-driven approach to fitting numerical relativity data for nonprecessing binary black holes with an application to final spin and radiated energy
text, January 2016
- Jiménez-Forteza, Xisco; Keitel, David; Husa, Sascha
- arXiv
Testing general relativity using gravitational wave signals from the inspiral, merger and ringdown of binary black holes
text, January 2017
- Ghosh, Abhirup; Johnson-McDaniel, Nathan K.; Ghosh, Archisman
- arXiv
Black Hole Spectroscopy: Systematic Errors and Ringdown Energy Estimates
text, January 2017
- Baibhav, Vishal; Berti, Emanuele; Cardoso, Vitor
- arXiv
On choosing the start time of binary black hole ringdown
text, January 2017
- Bhagwat, Swetha; Okounkova, Maria; Ballmer, Stefan W.
- arXiv
GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
text, January 2017
- Collaboration, The LIGO Scientific; Collaboration, The Virgo; Abbott, B. P.
- arXiv
Golden Binary Gravitational-Wave Sources: Robust Probes of Strong-Field Gravity
text, January 2004
- Hughes, Scott A.; Menou, Kristen
- arXiv
Regularity of Horizons and The Area Theorem
text, January 2000
- Chruściel, Piotr T.; Delay, Erwann; Galloway, Gregory J.
- arXiv
Isolated and dynamical horizons and their applications
text, January 2004
- Ashtekar, Abhay; Krishnan, Badri
- arXiv
Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions
text, January 2005
- Berti, Emanuele; Cardoso, Vitor; Casals, Marc
- arXiv
Data analysis of gravitational-wave signals from spinning neutron stars. I. The signal and its detection
text, January 1998
- Jaranowski, Piotr; Królak, Andrzej; Schutz, Bernard F.
- arXiv
Quasi-Normal Modes of Stars and Black Holes
text, January 1999
- Kokkotas, Kostas D.; Schmidt, Bernd G.
- arXiv
Works referencing / citing this record:
Testing the nature of dark compact objects: a status report
journal, July 2019
- Cardoso, Vitor; Pani, Paolo
- Living Reviews in Relativity, Vol. 22, Issue 1
PyCBC Inference: A Python-based Parameter Estimation Toolkit for Compact Binary Coalescence Signals
journal, January 2019
- Biwer, C. M.; Capano, Collin D.; De, Soumi
- Publications of the Astronomical Society of the Pacific, Vol. 131, Issue 996
Multiband gravitational-wave astronomy: Observing binary inspirals with a decihertz detector, B-DECIGO
journal, July 2018
- Isoyama, Soichiro; Nakano, Hiroyuki; Nakamura, Takashi
- Progress of Theoretical and Experimental Physics, Vol. 2018, Issue 7
Black-hole spectroscopy by making full use of gravitational-wave modeling
journal, October 2018
- Brito, Richard; Buonanno, Alessandra; Raymond, Vivien
- Physical Review D, Vol. 98, Issue 8
Empirical tests of the black hole no-hair conjecture using gravitational-wave observations
journal, November 2018
- Carullo, Gregorio; van der Schaaf, Laura; London, Lionel
- Physical Review D, Vol. 98, Issue 10
Existence and stability of marginally trapped surfaces in black-hole spacetimes
journal, March 2019
- Pook-Kolb, Daniel; Birnholtz, Ofek; Krishnan, Badri
- Physical Review D, Vol. 99, Issue 6
Observational black hole spectroscopy: A time-domain multimode analysis of GW150914
journal, June 2019
- Carullo, Gregorio; Del Pozzo, Walter; Veitch, John
- Physical Review D, Vol. 99, Issue 12
Testing the No-Hair Theorem with GW150914
journal, September 2019
- Isi, Maximiliano; Giesler, Matthew; Farr, Will M.
- Physical Review Letters, Vol. 123, Issue 11
Measuring Spin of the Remnant Black Hole from Maximum Amplitude
journal, October 2019
- Ferguson, Deborah; Ghonge, Sudarshan; Clark, James A.
- Physical Review Letters, Vol. 123, Issue 15
Black Hole Ringdown: The Importance of Overtones
journal, December 2019
- Giesler, Matthew; Isi, Maximiliano; Scheel, Mark A.
- Physical Review X, Vol. 9, Issue 4
Multiband Gravitational-Wave Astronomy: Observing binary inspirals with a decihertz detector, B-DECIGO
text, January 2018
- Isoyama, Soichiro; Nakano, Hiroyuki; Nakamura, Takashi
- arXiv
Empirical tests of the black hole no-hair conjecture using gravitational-wave observations
text, January 2018
- Carullo, Gregorio; van der Schaaf, Laura; London, Lionel
- arXiv
PyCBC Inference: A Python-based parameter estimation toolkit for compact binary coalescence signals
text, January 2018
- Biwer, C. M.; Capano, Collin D.; De, Soumi
- arXiv
Observational Black Hole Spectroscopy: A time-domain multimode analysis of GW150914
text, January 2019
- Carullo, Gregorio; Del Pozzo, Walter; Veitch, John
- arXiv
Testing the nature of dark compact objects: a status report
text, January 2019
- Cardoso, Vitor; Pani, Paolo
- arXiv
Testing the no-hair theorem with GW150914
text, January 2019
- Isi, Maximiliano; Giesler, Matthew; Farr, Will M.
- arXiv