Journal of East China Normal University(Natural Science) ›› 2022, Vol. 2022 ›› Issue (2): 114-119.doi: 10.3969/j.issn.1000-5641.2022.02.013

• Physics and Electronics • Previous Articles     Next Articles

Spherically symmetric solutions for a black hole surrounded by plasma

Qiang LI, Tao WANG*()   

  1. School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China
  • Received:2021-03-29 Online:2022-03-25 Published:2022-03-28
  • Contact: Tao WANG


In this paper, the exterior solution for a spherically symmetric black hole surrounded by plasma is studied in detail. After deriving the fundamental governing equations, the analytic solutions under two approximate conditions, ${g_{tt}}{g_{rr}} = - 1$ and $p = 0$ , are investigated. Comparing the two results with the accurate numerical solution, we find that the former approximation offers superior accuracy. This provides a basis for studying the quasinormal modes of perturbations as well as the shadow and ring when the black hole is surrounded by plasma.

Key words: black hole solutions, general relativity, shadow of black hole

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