华东师范大学学报（自然科学版） ›› 2022, Vol. 2022 ›› Issue (2): 114-119.doi: 10.3969/j.issn.1000-5641.2022.02.013

• 物理学与电子学 • 上一篇    下一篇

等离子体包围的球对称黑洞解

李强, 王焘*()   

  1. 华东师范大学 物理与电子科学学院, 上海　200241
  • 收稿日期:2021-03-29 出版日期:2022-03-25 发布日期:2022-03-28
  • 通讯作者: 王焘 E-mail:twang@phy.ecnu.edu.cn
  • 基金资助:
    国家自然科学基金(91536218)

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 E-mail:twang@phy.ecnu.edu.cn

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摘要：

考虑静态、球对称的情况, 对等离子体包围的黑洞外部解进行了细致研究. 在给出基本方程之后, 分别求出了在 ${g_{tt}}{g_{rr}} = - 1$ 和 $p = 0$ 两种近似条件下对应的解析解. 与精确数值解进行了比较, 发现前一种近似条件下的解析解更接近精确数值解. 这为在等离子体包围的情况下计算黑洞扰动的似正规模, 以及研究黑洞阴影和光子环提供了依据.

关键词: 黑洞解, 广义相对论, 黑洞阴影

Abstract:

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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