Gravitational perturbations of nonsingular black holes in conformal gravity
Abstract
It is believed that in the near future, gravitational wave detections will become a promising tool not only to test gravity theories, but also to probe extremely curved spacetime regions in our universe, such as the surroundings of black holes. In this paper, we investigate the quasinormal modes (QNMs) of the axial gravitational perturbations of a class of nonsingular black holes conformally related to the Schwarzschild black hole. Here, these nonsingular black holes can be regarded as the vacuum solution of a family of conformal gravity theories which are invariant under conformal transformations. After conformal symmetry is broken, these black holes produce observational signatures different from those of the Schwarzschild black hole, such as their QNM frequencies. We assume that the spacetime is described by the Einstein equation with the effective energy momentum tensor of an anisotropic fluid. The master equation describing the QNMs is derived, and the QNM frequencies are evaluated with the Wentzel-Kramers-Brillouin (WKB) method up to the 6th order. As expected, the QNM spectra of these nonsingular black holes deviate from those of the Schwarzschild black hole, indicating the possibility of testing these black hole solutions with the help of future gravitational wave detections.
- Authors:
-
- National Taiwan Univ., Taipei (Taiwan)
- National Taiwan Univ., Taipei (Taiwan); Stanford Univ., Stanford, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1526409
- Alternate Identifier(s):
- OSTI ID: 1511085
- Grant/Contract Number:
- NSC 97-2112-M-002-026-MY3; AC02-76SF00515; AC03-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 10; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Chen, Che -Yu, and Chen, Pisin. Gravitational perturbations of nonsingular black holes in conformal gravity. United States: N. p., 2019.
Web. doi:10.1103/physrevd.99.104003.
Chen, Che -Yu, & Chen, Pisin. Gravitational perturbations of nonsingular black holes in conformal gravity. United States. https://doi.org/10.1103/physrevd.99.104003
Chen, Che -Yu, and Chen, Pisin. Mon .
"Gravitational perturbations of nonsingular black holes in conformal gravity". United States. https://doi.org/10.1103/physrevd.99.104003. https://www.osti.gov/servlets/purl/1526409.
@article{osti_1526409,
title = {Gravitational perturbations of nonsingular black holes in conformal gravity},
author = {Chen, Che -Yu and Chen, Pisin},
abstractNote = {It is believed that in the near future, gravitational wave detections will become a promising tool not only to test gravity theories, but also to probe extremely curved spacetime regions in our universe, such as the surroundings of black holes. In this paper, we investigate the quasinormal modes (QNMs) of the axial gravitational perturbations of a class of nonsingular black holes conformally related to the Schwarzschild black hole. Here, these nonsingular black holes can be regarded as the vacuum solution of a family of conformal gravity theories which are invariant under conformal transformations. After conformal symmetry is broken, these black holes produce observational signatures different from those of the Schwarzschild black hole, such as their QNM frequencies. We assume that the spacetime is described by the Einstein equation with the effective energy momentum tensor of an anisotropic fluid. The master equation describing the QNMs is derived, and the QNM frequencies are evaluated with the Wentzel-Kramers-Brillouin (WKB) method up to the 6th order. As expected, the QNM spectra of these nonsingular black holes deviate from those of the Schwarzschild black hole, indicating the possibility of testing these black hole solutions with the help of future gravitational wave detections.},
doi = {10.1103/physrevd.99.104003},
journal = {Physical Review D},
number = 10,
volume = 99,
place = {United States},
year = {Mon May 06 00:00:00 EDT 2019},
month = {Mon May 06 00:00:00 EDT 2019}
}
Web of Science
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
Quantum geometry and the Schwarzschild singularity
journal, December 2005
- Ashtekar, Abhay; Bojowald, Martin
- Classical and Quantum Gravity, Vol. 23, Issue 2
Quasi normal modes and P-V criticallity for scalar perturbations in a class of dRGT massive gravity around black holes
journal, June 2016
- Prasia, P.; Kuriakose, V. C.
- General Relativity and Gravitation, Vol. 48, Issue 7
Mass generation, the cosmological constant problem, conformal symmetry, and the Higgs boson
journal, May 2017
- Mannheim, Philip D.
- Progress in Particle and Nuclear Physics, Vol. 94
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
Scalar and electromagnetic quasinormal modes of an extended black hole in F(R) gravity
journal, February 2015
- Sebastian, Saneesh; Kuriakose, V. C.
- Modern Physics Letters A, Vol. 30, Issue 05
Black hole evaporation in conformal gravity
journal, September 2017
- Bambi, Cosimo; Modesto, Leonardo; Porey, Shiladitya
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 09
Black holes in Einstein-Gauß-Bonnet-dilaton theory
journal, September 2016
- Blázquez-Salcedo, Jose Luis; Cardoso, Vitor; Ferrari, Valeria
- Proceedings of the International Astronomical Union, Vol. 12, Issue S324
A Class of Elementary Particle Models Without Any Adjustable Real Parameters
journal, September 2011
- ’t Hooft, Gerard
- Foundations of Physics, Vol. 41, Issue 12
Quantum Transfiguration of Kruskal Black Holes
journal, December 2018
- Ashtekar, Abhay; Olmedo, Javier; Singh, Parampreet
- Physical Review Letters, Vol. 121, Issue 24
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
Quasinormal modes of black holes in Horndeski gravity
journal, May 2018
- Tattersall, Oliver J.; Ferreira, Pedro G.
- Physical Review D, Vol. 97, Issue 10
Model for nonsingular black hole collapse and evaporation
journal, February 2010
- Hossenfelder, Sabine; Modesto, Leonardo; Prémont-Schwarz, Isabeau
- Physical Review D, Vol. 81, Issue 4
Quasinormal frequencies of black hole in the braneworld
journal, June 2016
- Toshmatov, Bobir; Stuchlík, Zdeněk; Schee, Jan
- Physical Review D, Vol. 93, Issue 12
Quasinormal modes of compact objects in alternative theories of gravity
journal, January 2019
- Blázquez-Salcedo, Jose Luis; Altaha Motahar, Zahra; Doneva, Daniela D.
- The European Physical Journal Plus, Vol. 134, Issue 1
Black hole perturbation in the most general scalar-tensor theory with second-order field equations: The odd-parity sector
journal, April 2012
- Kobayashi, Tsutomu; Motohashi, Hayato; Suyama, Teruaki
- Physical Review D, Vol. 85, Issue 8
Towards noncommutative quantum black holes
journal, October 2006
- López-Domínguez, J. C.; Obregón, O.; Sabido, M.
- Physical Review D, Vol. 74, Issue 8
A general study of regular and singular black hole solutions in Einstein’s conformal gravity
journal, June 2018
- Zhang, Qiqi; Modesto, Leonardo; Bambi, Cosimo
- The European Physical Journal C, Vol. 78, Issue 6
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
Testing conformal gravity with the supermassive black hole in 1H0707-495
journal, July 2018
- Zhou, Menglei; Cao, Zheng; Abdikamalov, Askar
- 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
Making the Case for Conformal Gravity
journal, November 2011
- Mannheim, Philip D.
- Foundations of Physics, Vol. 42, Issue 3
Electromagnetic fields of slowly rotating magnetized compact stars in conformal gravity
journal, June 2018
- Turimov, Bobur; Ahmedov, Bobomurat; Abdujabbarov, Ahmadjon
- Physical Review D, Vol. 97, Issue 12
Formation and evaporation of an electrically charged black hole in conformal gravity
journal, February 2018
- Bambi, Cosimo; Modesto, Leonardo; Porey, Shiladitya
- The European Physical Journal C, Vol. 78, Issue 2
Gravitational waves from quasinormal modes of a class of Lorentzian wormholes
journal, June 2018
- Aneesh, S.; Bose, Sukanta; Kar, Sayan
- Physical Review D, Vol. 97, Issue 12
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
Quantum extension of the Kruskal spacetime
journal, December 2018
- Ashtekar, Abhay; Olmedo, Javier; Singh, Parampreet
- Physical Review D, Vol. 98, Issue 12
Quasinormal modes of Schwarzschild black holes in four and higher dimensions
journal, February 2004
- Cardoso, Vitor; Lemos, José P. S.; Yoshida, Shijun
- Physical Review D, Vol. 69, Issue 4
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
Black holes in massive gravity: quasi-normal modes of scalar perturbations
journal, November 2014
- Fernando, Sharmanthie; Clark, Tyler
- General Relativity and Gravitation, Vol. 46, Issue 12
Unattainable extended spacetime regions in conformal gravity
journal, March 2018
- Chakrabarty, Hrishikesh; Benavides-Gallego, Carlos A.; Bambi, Cosimo
- Journal of High Energy Physics, Vol. 2018, Issue 3
Black hole quasinormal modes in a scalar-tensor theory with field derivative coupling to the Einstein tensor
journal, August 2014
- Minamitsuji, Masato
- General Relativity and Gravitation, Vol. 46, Issue 9
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
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
Space-time singularities and conformal gravity
journal, July 1977
- Naelikar, J. V.; Kembhavi, A. K.
- Lettere Al Nuovo Cimento Series 2, Vol. 19, Issue 13
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
journal, October 2017
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 119, Issue 16
Quasinormal modes of Einstein-Gauss-Bonnet-dilaton black holes
journal, September 2017
- Blázquez-Salcedo, Jose Luis; Khoo, Fech Scen; Kunz, Jutta
- Physical Review D, Vol. 96, Issue 6
Stability of a Schwarzschild Singularity
journal, November 1957
- Regge, Tullio; Wheeler, John A.
- Physical Review, Vol. 108, Issue 4
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
Late-time behavior of stellar collapse and explosions. I. Linearized perturbations
journal, January 1994
- Gundlach, Carsten; Price, Richard H.; Pullin, Jorge
- Physical Review D, Vol. 49, Issue 2
Polymer Schwarzschild black hole: An effective metric
journal, July 2018
- Ben Achour, J.; Lamy, F.; Liu, H.
- EPL (Europhysics Letters), Vol. 123, Issue 2
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
Effective line elements and black-hole models in canonical loop quantum gravity
journal, August 2018
- Bojowald, Martin; Brahma, Suddhasattwa; Yeom, Dong-han
- Physical Review D, Vol. 98, Issue 4
Quasinormal ringing of black holes in Einstein-aether theory
journal, November 2017
- Ding, Chikun
- Physical Review D, Vol. 96, Issue 10
Testing conformal gravity with astrophysical black holes
journal, March 2017
- Bambi, Cosimo; Cao, Zheng; Modesto, Leonardo
- Physical Review D, Vol. 95, Issue 6
Dynamical spacetimes in conformal gravity
journal, August 2017
- Zhang, Hongsheng; Zhang, Yi; Li, Xin-Zhou
- Nuclear Physics B, Vol. 921
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 of black holes in scalar-tensor theories with nonminimal derivative couplings
journal, September 2017
- Dong, Ruifeng; Sakstein, Jeremy; Stojkovic, Dejan
- Physical Review D, Vol. 96, Issue 6
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
Energy conditions of non-singular black hole spacetimes in conformal gravity
journal, August 2017
- Toshmatov, Bobir; Bambi, Cosimo; Ahmedov, Bobomurat
- The European Physical Journal C, Vol. 77, 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
How to tell a gravastar from a black hole
journal, July 2007
- Chirenti, Cecilia B. M. H.; Rezzolla, Luciano
- Classical and Quantum Gravity, Vol. 24, Issue 16
The Mathematical Theory of Black Holes
journal, October 1985
- Chandrasekhar, S.; Thorne, Kip S.
- American Journal of Physics, Vol. 53, Issue 10
Extended Theories of Gravity
journal, December 2011
- Capozziello, Salvatore; De Laurentis, Mariafelicia
- Physics Reports, Vol. 509, Issue 4-5
Conformal transformations and conformal invariance in gravitation
journal, February 2009
- Da̧browski, M. P.; Garecki, J.; Blaschke, D. B.
- Annalen der Physik, Vol. 18, Issue 1
Conformal invariance in quantum gravity
journal, December 1976
- Englert, F.; Truffin, C.; Gastmans, R.
- Nuclear Physics B, Vol. 117, Issue 2
Noncommutative geometry inspired Schwarzschild black hole
journal, January 2006
- Nicolini, Piero; Smailagic, Anais; Spallucci, Euro
- Physics Letters B, Vol. 632, Issue 4
Scalar quasinormal modes of anti–de Sitter static spacetime in Horava-Lifshitz gravity with symmetry
journal, September 2016
- Lin, Kai; Qian, Wei-Liang; Pavan, A. B.
- Physical Review D, Vol. 94, Issue 6
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
Erratum: Black hole perturbation in the most general scalar-tensor theory with second-order field equations: The odd-parity sector [Phys. Rev. D 85 , 084025 (2012)]
journal, November 2017
- Kobayashi, Tsutomu; Motohashi, Hayato; Suyama, Teruaki
- Physical Review D, Vol. 96, Issue 10
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
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
Scalar-gravitational perturbations and quasinormal modes in the five dimensional Schwarzschild black hole
journal, December 2003
- Cardoso, Vitor; Lemos, José P. S.; Yoshida, Shijun
- Journal of High Energy Physics, Vol. 2003, Issue 12
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
Spectral decomposition of the perturbation response of the Schwarzschild geometry
journal, July 1986
- Leaver, Edward W.
- Physical Review D, Vol. 34, Issue 2
Scalar perturbations of higher dimensional rotating and ultraspinning black holes
journal, January 2005
- Cardoso, Vitor; Siopsis, George; Yoshida, Shijun
- Physical Review D, Vol. 71, Issue 2
The Mathematical Theory of Black Holes
journal, July 1984
- Chandrasekhar, S.; Janis, Allen I.
- Physics Today, Vol. 37, Issue 7
GW170817: Observation of gravitational waves from a binary neutron star inspiral
text, January 2017
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- American Physical Society
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
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
other, January 2017
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- College Park : American Physical Society
How to tell a gravastar from a black hole
text, January 2007
- Chirenti, Cecilia B. M. H.; Rezzolla, Luciano
- arXiv
A model for non-singular black hole collapse and evaporation
text, January 2009
- Hossenfelder, Sabine; Modesto, Leonardo; Prémont-Schwarz, Isabeau
- arXiv
Black hole perturbation in the most general scalar-tensor theory with second-order field equations I: The odd-parity sector
text, January 2012
- Kobayashi, Tsutomu; Motohashi, Hayato; Suyama, Teruaki
- arXiv
Black hole quasinormal modes in a scalar-tensor theory with field derivative coupling to the Einstein tensor
text, January 2014
- Minamitsuji, Masato
- arXiv
Black holes in massive gravity: Quasi-normal modes of scalar perturbations
text, January 2014
- Fernando, Sharmanthie; Clark, Tyler
- arXiv
Testing General Relativity with Present and Future Astrophysical Observations
text, January 2015
- Berti, Emanuele; Barausse, Enrico; Cardoso, Vitor
- arXiv
Scalar Quasinormal Modes of Anti-de Sitter Static Spacetime in Horava-Lifshitz Gravity with $U(1)$ Symmetry
text, January 2016
- Lin, Kai; Qian, Wei-Liang; Pavan, A. B.
- arXiv
Spacetime completeness of non-singular black holes in conformal gravity
text, January 2016
- Bambi, Cosimo; Modesto, Leonardo; Rachwal, Leslaw
- arXiv
Black hole evaporation in conformal gravity
text, January 2016
- Bambi, Cosimo; Modesto, Leonardo; Porey, Shiladitya
- arXiv
Energy conditions of non-singular black hole spacetimes in conformal gravity
text, January 2017
- Toshmatov, Bobir; Bambi, Cosimo; Ahmedov, Bobomurat
- arXiv
Quasinormal modes as a distinguisher between general relativity and f(R) gravity
text, January 2017
- Bhattacharyya, Soham; Shankaranarayanan, S.
- arXiv
Scalar perturbations of nonsingular nonrotating black holes in conformal gravity
text, January 2017
- Toshmatov, Bobir; Bambi, Cosimo; Ahmedov, Bobomurat
- arXiv
Dynamical spacetimes in conformal gravity
text, January 2017
- Zhang, Hongsheng; Zhang, Yi; Li, Xin-Zhou
- arXiv
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
text, January 2017
- Collaboration, The LIGO Scientific; Collaboration, The Virgo
- arXiv
Polymer Schwarzschild black hole: An effective metric
text, January 2018
- Achour, Jibril Ben; Lamy, Frédéric; Liu, Hongguang
- arXiv
Testing conformal gravity with the supermassive black hole in 1H0707-495
text, January 2018
- Zhou, Menglei; Cao, Zheng; Abdikamalov, Askar
- arXiv
Quasi-normal modes of black holes in Horndeski gravity
text, January 2018
- Tattersall, Oliver J.; Ferreira, Pedro G.
- arXiv
Electromagnetic fields of slowly rotating magnetized compact stars in conformal gravity
text, January 2018
- Turimov, Bobur; Ahmedov, Bobomurat; Abdujabbarov, Ahmadjon
- arXiv
Electromagnetic perturbations of black holes in general relativity coupled to nonlinear electrodynamics
text, January 2018
- Toshmatov, Bobir; Stuchlík, Zdeněk; Schee, Jan
- arXiv
Quantum Transfiguration of Kruskal Black Holes
text, January 2018
- Ashtekar, Abhay; Olmedo, Javier; Singh, Parampreet
- arXiv
Quasinormal modes of compact objects in alternative theories of gravity
text, January 2018
- Blázquez-Salcedo, Jose Luis; Motahar, Zahra Altaha; Doneva, Daniela D.
- arXiv
Quantum geometry and the Schwarzschild singularity
text, January 2005
- Ashtekar, Abhay; Bojowald, Martin
- arXiv
Scalar-gravitational perturbations and quasinormal modes in the five dimensional Schwarzschild black hole
text, January 2003
- Cardoso, Vitor; Lemos, Jose' P. S.; Yoshida, Shijun
- arXiv
Towards Noncommutative Quantum Black Holes
text, January 2006
- Lopez-Dominguez, J. C.; Obregon, O.; Ramirez, C.
- arXiv
Works referencing / citing this record:
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
An overview of quasinormal modes in modified and extended gravity
preprint, January 2019
- Moulin, Flora; Barrau, Aurélien; Martineau, Killian
- arXiv