电磁宇宙中Schwarzschild黑洞的准正规模
Quasinormal Modes of a Schwarzschild Black Hole Immersed in an Electromagnetic Universe
摘要:
研究了电磁宇宙中史瓦西黑洞的准正规模。浸没史瓦西黑洞(ISBH)起源于双极化电磁波碰撞度规[Class.量子重力12,3013(1995)]。将ISBH几何中标量场的微扰方程写成可分方程的形式。我们表明,这些方程可以转化为合流Heun的方程,我们能够使用已知的技术来执行的解析拟正规(QNM)分析的解决方案。此外,我们采用数值方法[Mashhoon和$6^{th}$阶Wentzel-Kramers-Brillouin(WKB)]来推导QNM。所获得的结果进行了讨论,并描绘了适当的情节。
英文摘要:
We study the quasinormal modes (QNMs) of the Schwarzschild black hole immersed in an electromagnetic (em) universe. The immersed Schwarzschild black hole (ISBH) is originated from the metric of colliding em waves with double polarization [Class. Quantum Grav. 12, 3013 (1995)]. The perturbation equations of the scalar fields for the ISBH geometry are written in the form of separable equations. We show that these equations can be transformed to the confluent Heun's equations, for which we are able to use the known techniques to perform the analytical quasinormal (QNM) analysis of the solutions. Furthermore, we employ numerical methods [Mashhoon and $6^{th}$-order Wentzel-Kramers-Brillouin (WKB)] to derive the QNMs. The results obtained are discussed and depicted with the appropriate plots.
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