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}
}
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Electromagnetic perturbations of black holes in general relativity coupled to nonlinear electrodynamics
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