中国物理B ›› 2025, Vol. 34 ›› Issue (3): 30401-030401.doi: 10.1088/1674-1056/ada42c

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

Tongzheng Wang(王同征), Yuhao Cui(崔宇昊), and Kai Lin(林恺)†   

  1. School of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China
  • 收稿日期:2024-09-09 修回日期:2024-12-17 接受日期:2024-12-31 发布日期:2025-03-15
  • 通讯作者: Kai Lin E-mail:lk314159@hotmail.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 42230207) and the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) (Grant No. G1323523064).

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

Tongzheng Wang(王同征), Yuhao Cui(崔宇昊), and Kai Lin(林恺)†   

  1. School of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China
  • Received:2024-09-09 Revised:2024-12-17 Accepted:2024-12-31 Published:2025-03-15
  • Contact: Kai Lin E-mail:lk314159@hotmail.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 42230207) and the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) (Grant No. G1323523064).

摘要: 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.

关键词: quasi-normal modes, Rastall gravity, higher-dimensional

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.

Key words: quasi-normal modes, Rastall gravity, higher-dimensional

中图分类号:  (Modified theories of gravity)

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