arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.00674gr-qc
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Rastall引力中幂-Maxwell荷电黑洞的Dirac拟正规模

Dirac quasinormal modes of power-Maxwell charged black holes in Rastall gravity

Cai-Ying Shao, Yu Hu, Yu-Jie Tan Cheng-Gang Shao, Kai Lin, Wei-Liang Qian

摘要:

本文研究了Rastall引力场中荷电黑洞的无质量Dirac场的准正规模。球对称黑洞解的特征是存在一个幂麦克斯韦场,周围是精粹流体。计算是通过采用WKB近似到第十三阶,以及矩阵方法。利用有限差分方法研究了准正规模的时间演化。通过数值模拟,分析了包括极端黑洞在内的拟正规频率的性质。除其他外,我们探讨的情况下,第二种类型的极端黑洞的Nariai解决方案,宇宙和事件视界重合。WKB方法得到的结果与矩阵方法得到的结果基本一致。证明了在渐近平坦时空中Rastall引力的黑洞解与在Einstein引力中的黑洞解是等价的,但具有不同的渐近时空性质。作为其可能的结果之一,我们还研究了拟正态模型在本模型中的晚时尾的行为。发现Rastall理论中准正规模的晚时尾的渐近行为受爱因斯坦引力中对应模时空的渐近性质的支配。

英文摘要:

In this paper, we study the quasinormal modes of the massless Dirac field for charged black holes in Rastall gravity. The spherically symmetric black hole solutions in question are characterized by the presence of a power-Maxwell field, surrounded by the quintessence fluid. The calculations are carried out by employing the WKB approximations up to the thirteenth order, as well as the matrix method. The temporal evolution of the quasinormal modes is investigated by using the finite difference method. Through numerical simulations, the properties of the quasinormal frequencies are analyzed, including those for the extremal black holes. Among others, we explore the case of a second type of extremal black holes regarding the Nariai solution, where the cosmical and event horizon coincide. The results obtained by the WKB approaches are found to be mostly consistent with those by the matrix method. It is demonstrated that the black hole solutions for Rastall gravity in asymptotically flat spacetimes are equivalent to those in Einstein gravity, featured by different asymptotical spacetime properties. As one of its possible consequences, we also investigate the behavior of the late-time tails of quasinormal models in the present model. It is found that the asymptotical behavior of the late-time tails of quasinormal modes in Rastall theory is governed by the asymptotical properties of the spacetimes of their counterparts in Einstein gravity.

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