Lessons from black hole quasinormal modes in modified gravity
Abstract
Quasinormal modes (QNMs) of perturbed black holes have recently gained much interest because of their tight relations with the gravitational wave signals emitted during the post-merger phase of a binary black hole coalescence. One of the intriguing features of these modes is that they respect the no-hair theorem, and hence, they can be used to test black hole spacetimes and the underlying gravitational theory. In this paper, we exhibit three different aspects of how black hole QNMs could be altered in theories beyond Einstein’s general relativity (GR). These aspects are (i) the direct alterations of QNM spectra as compared with those in GR, (ii) the violation of the geometric correspondence between the high-frequency QNMs and the photon geodesics around the black hole, and (iii) the breaking of the isospectrality between the axial and polar gravitational perturbations. Several examples will be provided in each individual case. The prospects and possible challenges associated with future observations will be also discussed.
- Authors:
-
- Academia Sinica, Taipei (Taiwan). Institute of Physics
- Univ. of the Basque Country (UPV/EHU), Bilboa (Spain). Dept. of Physics; Basque Foundation for Science, Bilbao (Spain). IKERBASQUE
- National Taiwan Univ., Taipei (Taiwan). Dept. of Physics and Center for Theoretical Sciences; National Taiwan Univ., Taipei (Taiwan). LeCosPA; SLAC National Accelerator Lab., Menlo Park, CA (United States). Kavli Institute for Particle Astrophysics and Cosmology
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1777242
- Grant/Contract Number:
- AC02-76SF00515; FIS2017-85076-P; IT956-16; 107-2119-M-002-005
- Resource Type:
- Accepted Manuscript
- Journal Name:
- European Physical Journal Plus
- Additional Journal Information:
- Journal Volume: 136; Journal Issue: 2; Journal ID: ISSN 2190-5444
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Chen, Che-Yu, Bouhmadi-López, Mariam, and Chen, Pisin. Lessons from black hole quasinormal modes in modified gravity. United States: N. p., 2021.
Web. doi:10.1140/epjp/s13360-021-01227-z.
Chen, Che-Yu, Bouhmadi-López, Mariam, & Chen, Pisin. Lessons from black hole quasinormal modes in modified gravity. United States. https://doi.org/10.1140/epjp/s13360-021-01227-z
Chen, Che-Yu, Bouhmadi-López, Mariam, and Chen, Pisin. Tue .
"Lessons from black hole quasinormal modes in modified gravity". United States. https://doi.org/10.1140/epjp/s13360-021-01227-z. https://www.osti.gov/servlets/purl/1777242.
@article{osti_1777242,
title = {Lessons from black hole quasinormal modes in modified gravity},
author = {Chen, Che-Yu and Bouhmadi-López, Mariam and Chen, Pisin},
abstractNote = {Quasinormal modes (QNMs) of perturbed black holes have recently gained much interest because of their tight relations with the gravitational wave signals emitted during the post-merger phase of a binary black hole coalescence. One of the intriguing features of these modes is that they respect the no-hair theorem, and hence, they can be used to test black hole spacetimes and the underlying gravitational theory. In this paper, we exhibit three different aspects of how black hole QNMs could be altered in theories beyond Einstein’s general relativity (GR). These aspects are (i) the direct alterations of QNM spectra as compared with those in GR, (ii) the violation of the geometric correspondence between the high-frequency QNMs and the photon geodesics around the black hole, and (iii) the breaking of the isospectrality between the axial and polar gravitational perturbations. Several examples will be provided in each individual case. The prospects and possible challenges associated with future observations will be also discussed.},
doi = {10.1140/epjp/s13360-021-01227-z},
journal = {European Physical Journal Plus},
number = 2,
volume = 136,
place = {United States},
year = {Tue Feb 23 00:00:00 EST 2021},
month = {Tue Feb 23 00:00:00 EST 2021}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Are eikonal quasinormal modes linked to the unstable circular null geodesics?
journal, August 2017
- Konoplya, R. A.; Stuchlík, Z.
- Physics Letters B, Vol. 771
Black hole quasinormal modes using the asymptotic iteration method
journal, June 2010
- Cho, H. T.; Cornell, A. S.; Doukas, Jason
- Classical and Quantum Gravity, Vol. 27, Issue 15
Quasinormal modes of black holes. II. Padé summation of the higher-order WKB terms
journal, December 2019
- Matyjasek, Jerzy; Telecka, Małgorzata
- Physical Review D, Vol. 100, Issue 12
Quasinormal modes of AdS black holes and the approach to thermal equilibrium
journal, June 2000
- Horowitz, Gary T.; Hubeny, Veronika E.
- Physical Review D, Vol. 62, Issue 2
Quasinormal modes: the characteristic `sound' of black holes and neutron stars
journal, November 1999
- Nollert, Hans-Peter
- Classical and Quantum Gravity, Vol. 16, Issue 12
$ f(R,T_{\mu\nu}T^{\mu\nu})$ gravity and Cardassian-like expansion as one of its consequences
journal, August 2014
- Katırcı, Nihan; Kavuk, Mehmet
- The European Physical Journal Plus, Vol. 129, Issue 8
Quasinormal modes of black holes and Borel summation
journal, January 2020
- Hatsuda, Yasuyuki
- Physical Review D, Vol. 101, Issue 2
Eikonal quasinormal modes of black holes beyond general relativity
journal, August 2019
- Glampedakis, Kostas; Silva, Hector O.
- Physical Review D, Vol. 100, Issue 4
Erratum to: Black hole solution and strong gravitational lensing in Eddington-inspired Born–Infeld gravity
journal, July 2015
- Wei, Shao-Wen; Yang, Ke; Liu, Yu-Xiao
- The European Physical Journal C, Vol. 75, Issue 7
Scalar perturbations of nonsingular nonrotating black holes in conformal gravity
journal, September 2017
- Toshmatov, Bobir; Bambi, Cosimo; Ahmedov, Bobomurat
- Physical Review D, Vol. 96, Issue 6
New approach to the quasinormal modes of a black hole
journal, July 1984
- Ferrari, Valeria; Mashhoon, Bahram
- Physical Review D, Vol. 30, Issue 2
Perturbations of Schwarzschild black holes in dynamical Chern-Simons modified gravity
journal, September 2009
- Cardoso, Vitor; Gualtieri, Leonardo
- Physical Review D, Vol. 80, Issue 6
Gravitational perturbations of nonsingular black holes in conformal gravity
journal, May 2019
- Chen, Che-Yu; Chen, Pisin
- Physical Review D, Vol. 99, Issue 10
Quasinormal modes of black holes in Horndeski gravity
journal, May 2018
- Tattersall, Oliver J.; Ferreira, Pedro G.
- Physical Review D, Vol. 97, Issue 10
Scalar, electromagnetic, and gravitational perturbations of Kerr-Newman black holes in the slow-rotation limit
journal, September 2013
- Pani, Paolo; Berti, Emanuele; Gualtieri, Leonardo
- Physical Review D, Vol. 88, Issue 6
Constraint on energy-momentum squared gravity from neutron stars and its cosmological implications
journal, June 2018
- Akarsu, Özgür; Barrow, John D.; Çıkıntoğlu, Sercan
- Physical Review D, Vol. 97, Issue 12
A New Approach to Black Hole Quasinormal Modes: A Review of the Asymptotic Iteration Method
journal, January 2012
- Cho, H. T.; Cornell, A. S.; Doukas, Jason
- Advances in Mathematical Physics, Vol. 2012
Nonlocal cosmology II. Cosmic acceleration without fine tuning or dark energy
journal, June 2019
- Deser, S.; Woodard, R. P.
- Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 06
Testing general relativity with present and future astrophysical observations
journal, December 2015
- Berti, Emanuele; Barausse, Enrico; Cardoso, Vitor
- Classical and Quantum Gravity, Vol. 32, Issue 24
Eddington-inspired Born-Infeld gravity: Phenomenology of nonlinear gravity-matter coupling
journal, April 2012
- Pani, Paolo; Delsate, Térence; Cardoso, Vitor
- Physical Review D, Vol. 85, Issue 8
Eddington’s Theory of Gravity and Its Progeny
journal, July 2010
- Bañados, Máximo; Ferreira, Pedro G.
- Physical Review Letters, Vol. 105, Issue 1
Stability analysis of Schwarzschild black holes in dynamical Chern-Simons gravity
journal, July 2018
- Kimura, Masashi
- Physical Review D, Vol. 98, Issue 2
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
The portrait of eikonal instability in Lovelock theories
journal, May 2017
- Konoplya, R. A.; Zhidenko, A.
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 05
Gravitational signature of Schwarzschild black holes in dynamical Chern-Simons gravity
journal, June 2010
- Molina, C.; Pani, Paolo; Cardoso, Vitor
- Physical Review D, Vol. 81, Issue 12
New Insights on the Matter-Gravity Coupling Paradigm
journal, July 2012
- Delsate, Térence; Steinhoff, Jan
- Physical Review Letters, Vol. 109, Issue 2
Exploring nonsingular black holes in gravitational perturbations
journal, December 2020
- Liu, Hang; Zhang, Chao; Gong, Yungui
- Physical Review D, Vol. 102, Issue 12
Born–Infeld inspired modifications of gravity
journal, January 2018
- Beltrán Jiménez, Jose; Heisenberg, Lavinia; Olmo, Gonzalo J.
- Physics Reports, Vol. 727
Energy-momentum squared gravity
journal, August 2016
- Roshan, Mahmood; Shojai, Fatimah
- Physical Review D, Vol. 94, Issue 4
Gravitational axial perturbations and quasinormal modes of loop quantum black holes
journal, February 2019
- Cruz, M. B.; Silva, C. A. S.; Brito, F. A.
- The European Physical Journal C, Vol. 79, Issue 2
Spacetime completeness of non-singular black holes in conformal gravity
journal, May 2017
- Bambi, Cosimo; Modesto, Leonardo; Rachwał, Lesław
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 05
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
Probing Palatini-type gravity theories through gravitational wave detections via quasinormal modes
journal, January 2019
- Chen, Che-Yu; Bouhmadi-López, Mariam; Chen, Pisin
- The European Physical Journal C, Vol. 79, Issue 1
General theories of linear gravitational perturbations to a Schwarzschild black hole
journal, February 2018
- Tattersall, Oliver J.; Ferreira, Pedro G.; Lagos, Macarena
- Physical Review D, Vol. 97, Issue 4
Geodesic stability, Lyapunov exponents, and quasinormal modes
journal, March 2009
- Cardoso, Vitor; Miranda, Alex S.; Berti, Emanuele
- Physical Review D, Vol. 79, Issue 6
Quasinormal modes of black holes: The improved semianalytic approach
journal, July 2017
- Matyjasek, Jerzy; Opala, Michał
- Physical Review D, Vol. 96, Issue 2
Modified gravity theories on a nutshell: Inflation, bounce and late-time evolution
journal, June 2017
- Nojiri, S.; Odintsov, S. D.; Oikonomou, V. K.
- Physics Reports, Vol. 692
Quasinormal modes of massless scalar fields for charged black holes in the Palatini-type gravity
journal, August 2018
- Chen, Che-Yu; Chen, Pisin
- Physical Review D, Vol. 98, Issue 4
Compact stars in energy-momentum squared gravity
journal, July 2018
- Nari, Nasrin; Roshan, Mahmood
- Physical Review D, Vol. 98, Issue 2
Shadow and quasinormal modes of a rotating loop quantum black hole
journal, April 2020
- Liu, Cheng; Zhu, Tao; Wu, Qiang
- Physical Review D, Vol. 101, Issue 8
Parametrized black hole quasinormal ringdown: Decoupled equations for nonrotating black holes
journal, May 2019
- Cardoso, Vitor; Kimura, Masashi; Maselli, Andrea
- Physical Review D, Vol. 99, Issue 10
A consistent model of non-singular Schwarzschild black hole in loop quantum gravity and its quasinormal modes
journal, July 2020
- Bouhmadi-López, Mariam; Brahma, Suddhasattwa; Chen, Che-Yu
- Journal of Cosmology and Astroparticle Physics, Vol. 2020, Issue 07
Quasinormal mode spectrum of a Kerr black hole in the eikonal limit
journal, November 2010
- Dolan, Sam R.
- Physical Review D, Vol. 82, Issue 10
Chern–Simons modified general relativity
journal, August 2009
- Alexander, Stephon; Yunes, Nicolás
- Physics Reports, Vol. 480, Issue 1-2
Stability of a Schwarzschild Singularity
journal, November 1957
- Regge, Tullio; Wheeler, John A.
- Physical Review, Vol. 108, Issue 4
Distinguishing general relativity from Chern-Simons gravity using gravitational wave polarizations
journal, July 2019
- Bhattacharyya, Soham; Shankaranarayanan, S.
- Physical Review D, Vol. 100, Issue 2
Perturbed black holes in Einstein-dilaton-Gauss-Bonnet gravity: Stability, ringdown, and gravitational-wave emission
journal, November 2016
- Blázquez-Salcedo, Jose Luis; Macedo, Caio F. B.; Cardoso, Vitor
- Physical Review D, Vol. 94, Issue 10
Electromagnetic perturbations of black holes in general relativity coupled to nonlinear electrodynamics: Polar perturbations
journal, October 2018
- Toshmatov, Bobir; Stuchlík, Zdeněk; Ahmedov, Bobomurat
- Physical Review D, Vol. 98, Issue 8
Connection between the shadow radius and quasinormal modes in rotating spacetimes
journal, June 2020
- Jusufi, Kimet
- Physical Review D, Vol. 101, Issue 12
Black hole perturbation in nondynamical and dynamical Chern-Simons gravity
journal, February 2012
- Motohashi, Hayato; Suyama, Teruaki
- Physical Review D, Vol. 85, Issue 4
Analytical correspondence between shadow radius and black hole quasinormal frequencies
journal, December 2020
- Cuadros-Melgar, B.; Fontana, R. D. B.; de Oliveira, Jeferson
- Physics Letters B, Vol. 811
Overdamped modes in Schwarzschild-de Sitter and a Mathematica package for the numerical computation of quasinormal modes
journal, December 2017
- Jansen, Aron
- The European Physical Journal Plus, Vol. 132, Issue 12
Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
journal, November 2012
- Yang, Huan; Nichols, David A.; Zhang, Fan
- Physical Review D, Vol. 86, Issue 10
Polar gravitational perturbations and quasinormal modes of a loop quantum gravity black hole
journal, August 2020
- Cruz, M. B.; Brito, F. A.; Silva, C. A. S.
- Physical Review D, Vol. 102, Issue 4
Electromagnetic perturbations of black holes in general relativity coupled to nonlinear electrodynamics
journal, April 2018
- Toshmatov, Bobir; Stuchlík, Zdeněk; Schee, Jan
- Physical Review D, Vol. 97, Issue 8
Black hole normal modes - A semianalytic approach
journal, April 1985
- Schutz, B. F.; Will, C. M.
- The Astrophysical Journal, Vol. 291
Quasinormal modes as a distinguisher between general relativity and gravity
journal, September 2017
- Bhattacharyya, Soham; Shankaranarayanan, S.
- Physical Review D, Vol. 96, Issue 6
Quasinormal modes as a distinguisher between general relativity and f(R) gravity: charged black-holes
journal, September 2018
- Bhattacharyya, Soham; Shankaranarayanan, S.
- The European Physical Journal C, Vol. 78, Issue 9
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
Quasi-normal modes of static spherically symmetric black holes in f(R) theory
journal, January 2020
- Datta, Sayak; Bose, Sukanta
- The European Physical Journal C, Vol. 80, Issue 1
Properties of an electrically charged black hole in Eddington-inspired Born-Infeld gravity
journal, December 2014
- Sotani, Hajime; Miyamoto, Umpei
- Physical Review D, Vol. 90, Issue 12
Quasinormal modes of black holes surrounded by dark matter and their connection with the shadow radius
journal, April 2020
- Jusufi, Kimet
- Physical Review D, Vol. 101, Issue 8
Black-hole normal modes: A WKB approach. I. Foundations and application of a higher-order WKB analysis of potential-barrier scattering
journal, June 1987
- Iyer, Sai; Will, Clifford M.
- Physical Review D, Vol. 35, Issue 12
Gravitoelectromagnetic Perturbations of Kerr-Newman Black Holes: Stability and Isospectrality in the Slow-Rotation Limit
journal, June 2013
- Pani, Paolo; Berti, Emanuele; Gualtieri, Leonardo
- Physical Review Letters, Vol. 110, Issue 24
Extended Theories of Gravity
journal, December 2011
- Capozziello, Salvatore; De Laurentis, Mariafelicia
- Physics Reports, Vol. 509, Issue 4-5
Post-Kerr black hole spectroscopy
journal, September 2017
- Glampedakis, Kostas; Pappas, George; Silva, Hector O.
- Physical Review D, Vol. 96, Issue 6
Black hole perturbations and quasinormal modes in hybrid metric-Palatini gravity
journal, December 2020
- Chen, Che-Yu; Kung, Yu-Hsien; Chen, Pisin
- Physical Review D, Vol. 102, Issue 12
Quasinormal behavior of the -dimensional Schwarzschild black hole and the higher order WKB approach
journal, July 2003
- Konoplya, R. A.
- Physical Review D, Vol. 68, Issue 2
Quasinormal modes of black holes: From astrophysics to string theory
journal, July 2011
- Konoplya, R. A.; Zhidenko, Alexander
- Reviews of Modern Physics, Vol. 83, Issue 3
Eikonal black hole ringings in generalized energy-momentum squared gravity
journal, March 2020
- Chen, Che-Yu; Chen, Pisin
- Physical Review D, Vol. 101, Issue 6
Black hole perturbation in the most general scalar-tensor theory with second-order field equations. II. The even-parity sector
journal, April 2014
- Kobayashi, Tsutomu; Motohashi, Hayato; Suyama, Teruaki
- Physical Review D, Vol. 89, Issue 8
Darboux transformation in black hole perturbation theory
journal, July 2017
- Glampedakis, Kostas; Johnson, Aaron D.; Kennefick, Daniel
- Physical Review D, Vol. 96, Issue 2
Spectral decomposition of the perturbation response of the Schwarzschild geometry
journal, July 1986
- Leaver, Edward W.
- Physical Review D, Vol. 34, Issue 2
Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
journal, July 2019
- Konoplya, R. A.; Zhidenko, A.; Zinhailo, A. F.
- Classical and Quantum Gravity, Vol. 36, Issue 15
An Overview of Quasinormal Modes in Modified and Extended Gravity
journal, September 2019
- Moulin, Flora; Barrau, Aurélien; Martineau, Killian
- Universe, Vol. 5, Issue 9
Effective Potential for Even-Parity Regge-Wheeler Gravitational Perturbation Equations
journal, March 1970
- Zerilli, Frank J.
- Physical Review Letters, Vol. 24, Issue 13
Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism
journal, April 2014
- Pan, Yi; Buonanno, Alessandra; Taracchini, Andrea
- Physical Review D, Vol. 89, Issue 8
Quasinormal modes of regular black holes
journal, January 2013
- Flachi, Antonino; Lemos, José P. S.
- Physical Review D, Vol. 87, Issue 2