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Quasinormal modes of black holes in Weyl gravity: electromagnetic and gravitational perturbations
The European Physical Journal C ( IF 4.4 ) Pub Date : 2020-06-05 , DOI: 10.1140/epjc/s10052-020-8051-2
Mehrab Momennia , Seyed Hossein Hendi

The recent reported gravitational wave detection motivates one to investigate the properties of different black hole models, especially their behavior under (axial) gravitational perturbation. Here, we study the quasinormal modes of black holes in Weyl gravity. We derive the master equation describing the quasinormal radiation by using a relation between the Schwarzschild-anti de Sitter black holes and Weyl solutions, and also the conformal invariance property of the Weyl action. It will be observed that the quasinormal mode spectra of the Weyl solutions deviate from those of the Schwarzschild black hole due to the presence of an additional linear r-term in the metric function. We also consider the evolution of the Maxwell field on the background spacetime and obtain the master equation of electromagnetic perturbations. Then, we use the WKB approximation and asymptotic iteration method to calculate the quasinormal frequencies. Finally, the time evolution of modes is studied through the time-domain integration of the master equation.

A preprint version of the article is available at ArXiv.


中文翻译:

Weyl重力中黑洞的准正规模式:电磁和引力扰动

最近报道的引力波检测激发了人们研究不同黑洞模型的特性,尤其是它们在(轴向)引力扰动下的行为。在这里,我们研究了Weyl重力中黑洞的准正规模。我们通过使用Schwarzschild-anti de Sitter黑洞与Weyl解之间的关系以及Weyl作用的共形不变性来推导描述准正规辐射的主方程。将会观察到,由于存在额外的线性r,Weyl溶液的准正态谱与Schwarzschild黑洞的准正谱谱有偏差。指标功能中的-term。我们还考虑了麦克斯韦场在背景时空上的演化,并获得了电磁扰动的主方程。然后,我们使用WKB逼近和渐近迭代法来计算准正态频率。最后,通过主方程的时域积分研究了模态的时间演化。

该文章的预印本可从ArXiv获得。
更新日期:2020-06-05
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