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Title: 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:
 [1];  [2]
  1. National Taiwan Univ., Taipei (Taiwan)
  2. 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. doi:10.1103/physrevd.99.104003.
Chen, Che -Yu, and Chen, Pisin. Mon . "Gravitational perturbations of nonsingular black holes in conformal gravity". United States. doi:10.1103/physrevd.99.104003.
@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 = {2019},
month = {5}
}

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