Gravitational perturbations of non-singular 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 non-singular black holes conformally related to the Schwarzschild black hole. These non-singular 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 non-singular 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.

11 pages, 5 figures

References in corpus (13)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Are eikonal quasinormal modes linked to the unstable circular null geodesics?
• How to tell a gravastar from a black hole
• Quasinormal modes of Einstein-Gauss-Bonnet-dilaton black holes
• Towards Noncommutative Quantum Black Holes
• Black holes in massive gravity: Quasi-normal modes of scalar perturbations
• Black hole quasinormal modes in a scalar-tensor theory with field derivative coupling to the Einstein tensor
• Quasinormal ringing of black holes in Einstein aether theory
• Quasi-normal modes of black holes in scalar-tensor theories with non-minimal derivative couplings
• Scalar Quasinormal Modes of Anti-de Sitter Static Spacetime in Horava-Lifshitz Gravity with $U(1)$ Symmetry
• Dynamical spacetimes in conformal gravity
• Scalar and Electromagnetic Quasinormal modes of Extended black hole in F(R) gravity

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