https://doi.org/10.1140/epjc/s10052-024-13140-7
Regular Article - Theoretical Physics
Axial gravitational quasi-normal modes of spherically symmetric black hole in f(R) gravity and its optical appearance
1
School of Geophysics and Geomatics, China University of Geosciences, 430074, Wuhan, Hubei, China
2
College of Physics and Electronic Engineering, Chongqing Normal University, 401331, Chongqing, China
3
Guangxi Key Laboratory for Relativistic Astrophysics, School of Physical Science and Technology, Guangxi University, 530004, Nanning, China
4
Instituto de Física, Universidade de São Paulo, São Paulo, Brazil
Received:
11
June
2024
Accepted:
19
July
2024
Published online:
14
August
2024
This paper investigates the axial gravitational perturbations originating from spherically symmetric black holes in f(R) gravity, along with the optical appearance of such a black hole. The aim is to search for evidence of the existence of these black holes in astrophysical observations and thereby test the correctness of the f(R) theory. In literature Kalita and Mukhopadhyay (Eur Phys J C 79:877, 2019), the spherically symmetric black hole metric in f(R) gravity is obtained. By comparing it with the metric for spherically symmetric black holes in general relativity, we find that the modification of gravity due to f(R) can be described in this black hole spacetime using a parameter . Next, we study axial gravitational perturbations in this spacetime and successfully derive a decoupled axial perturbation equation. We also discuss the impact of f(R) gravity on the quasi-normal mode frequencies. Additionally, we have also investigated the optical appearance of the black hole. We discuss the impact of the parameter on the observable characteristics of the accretion disk. In principle, both of these effects can be observed using gravitational wave detectors and astronomical telescopes.
© The Author(s) 2024
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