Gravitational perturbations of nonsingular black holes in conformal gravity

Chen, Che -Yu; Chen, Pisin

doi:10.1103/physrevd.99.104003

Title: Gravitational perturbations of nonsingular black holes in conformal gravity

Journal Article · 06 May 2019 · Physical Review D

DOI: https://doi.org/10.1103/physrevd.99.104003 · OSTI ID:1526409

Chen, Che -Yu ^[1]; Chen, Pisin ^[2]

National Taiwan Univ., Taipei (Taiwan)
National Taiwan Univ., Taipei (Taiwan); Stanford Univ., Stanford, CA (United States)

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.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1526409

Journal Information:: Physical Review D, Journal Name: Physical Review D Journal Issue: 10 Vol. 99; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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