带毛Kiselev黑洞的引力波脉冲与记忆效应及其与Bondi-Sachs形式体系的类比
Gravitational wave pulse and memory effects for hairy Kiselev black hole and its analogy with Bondi-Sachs formalism
AI总结：
本文针对带毛Kiselev黑洞，分别采用Bondi-Sachs形式体系分析类光无穷远引力记忆及Bondi质量变化、通过邻近测地线偏离研究位移与速度记忆效应，为获取黑洞周围场参数及毛参数提供了途径。
摘要：
Kiselev解极大地推动了对含黑洞的非真空宇宙学背景的研究。该解对于理解背景性质及其与黑洞特征的关联具有关键作用。因此，黑洞远距离处的引力记忆效应为获取周围场参数N以及带毛Kiselev黑洞（hairy Kiselev Black hole）的毛相关参数的信息提供了宝贵途径。本文通过两种不同方法研究了Kiselev解背景下的引力记忆效应。首先，通过向该解引入引力波（gravitational wave, GW）脉冲，利用Bondi-Sachs形式体系（Bondi-Sachs formalism）探究了类光无穷远处的引力记忆效应，随后对所得的Bondi质量进行分析以获取更深入的认识。据此，本文研究了Kiselev解中由引力波脉冲引起的Bondi质量变化。研究Bondi质量变化的动因在于，该质量是动态且随时间变化的，它测量的是渐近类光切片上的质量或天球上的能量密度。在第二种方法中，本文围绕两条邻近测地线的偏离及其导数的偏离，研究了位移与速度记忆效应，这些效应受周围场参数N和带毛Kiselev黑洞的毛的影响。该分析是在被场参数N包围的带毛Kiselev黑洞背景中存在引力波脉冲的情境下开展的。
英文摘要：
The investigation of non-vacuum cosmological backgrounds containing black holes is greatly enhanced by the Kiselev solution. This solution plays a crucial role in understanding the properties of the background and its relationship with the features of the black hole. Consequently, the gravitational memory effects at large distances from the black hole offer a valuable means of obtaining information about the surrounding field parameter N and parameters related to the hair of the hairy Kiselev Black hole. This paper investigates the gravitational memory effects in the context of the Kiselev solution through two distinct approaches. At first, the gravitational memory effect at null infinity is explored by utilizing the Bondi-Sachs formalism by introducing a gravitational wave (GW) pulse to the solution. The resulting Bondi mass is then analyzed to gain further insight. Therefore, the Kiselev solution is being examined to determine the variations in Bondi mass caused by the pulse of GWs. The study of changes in Bondi mass is motivated by the fact that it is dynamic and time-dependent, and it measures mass on an asymptotically null slice or the densities of energy on celestial spheres. In the second approach, the investigation of displacement and velocity memory effects is undertaken in relation to the deviation of two neighboring geodesics and the deviation of their derivative influenced by surrounding field parameter N and the hair of hairy Kiselev black hole. This analysis is conducted within the context of a gravitational wave pulse present in the background of a hairy Kiselev black hole surrounded by a field parameter N.
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