Gravitational quasi-normal modes of charged spherically symmetric black holes surrounded by quintessence fluid in Rastall gravity

doi:10.1088/1674-1056/ada42c

Abstract We apply the WKB approximation method, matrix method, and finite difference method to study the gravitational quasi-normal modes of charged spherically symmetric black holes surrounded by quintessence fluid in Rastall gravity. By comparing the spherically symmetric spacetime metric of charged black holes surrounded by quintessence fluid in Rastall gravity with that of general relativity, we can find that the modifications to general relativity in this modified gravity theory can be described by parameters such as $\lambda$, $Q$, and $C_{\rm a}$, etc. In four-dimensional spacetime, we investigate the impact of charge $Q$ and parameter $C_{\rm a}$ on the gravitational quasi-normal modes of charged black holes surrounded by quintessence field in Rastall gravity. The aim is to search for observational evidence of such black holes in astrophysical observations and, consequently, test the validity of Rastall theory. In five-dimensional (5D) spacetime, we study the impact of the parameter $C_{\rm a}$ on the gravitational quasi-normal modes of Rastall black holes surrounded by quintessence field and summarize the corresponding variation patterns.

Keywords: quasi-normal modes Rastall gravity higher-dimensional

Received: 09 September 2024
Revised: 17 December 2024
Accepted manuscript online: 31 December 2024

PACS:	04.50.Kd	(Modified theories of gravity)
	04.25.Nx	(Post-Newtonian approximation; perturbation theory; related Approximations)
	04.80.Cc	(Experimental tests of gravitational theories)
	04.20.Ha	(Asymptotic structure)

Fund: Project supported by the National Natural Science Foundation of China (Gant No. 42230207) and the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) (Grant No. G1323523064).

Corresponding Authors: Kai Lin
E-mail: lk314159@hotmail.com

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Tongzheng Wang(王同征), Yuhao Cui(崔宇昊), and Kai Lin(林恺) Gravitational quasi-normal modes of charged spherically symmetric black holes surrounded by quintessence fluid in Rastall gravity 2025 Chin. Phys. B 34 030401

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Gravitational quasi-normal modes of charged spherically symmetric black holes surrounded by quintessence fluid in Rastall gravity

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