Einstein-Erther引力中的Ellis漏洞解和轴向引力准正规模
Ellis drainhole solution in Einstein-Æther gravity and the axial gravitational quasinormal modes
摘要:
在Einstein-Eraser引力下导出了Ellis排水孔解,并研究了排水孔的轴向准正规模。由于存在一个具有反正统耦合极性的最小耦合标量场,所得度规解的特征是喉道而不是视界,因此静态的以太解是可行的。此外,推导出的轴向引力摄动主方程由两个耦合的矢量自由度组成。通过利用有限差分法,准正规振荡的时间分布进行评估,并且,随后,提取复频率,并与耦合关闭时通过WKB方法获得的特定值进行比较。此外,还探讨了耦合对低激发态准正规谱的影响,并讨论了其可能的物理意义。
英文摘要:
In this work, the Ellis drainhole solution is derived in Einstein-Æther gravity, and subsequently, the axial quasinormal modes of the resulting drainhole are investigated. Owing to the presence of a minimally coupled scalar field with antiorthodox coupling polarity, the resultant metric solution is featured by a throat instead of a horizon, for which static æther solution becomes feasible. Moreover, the derived master equations for the axial gravitational perturbations consist of two coupled vector degrees of freedom. By utilizing the finite difference method, the temporal profiles of the quasinormal oscillations are evaluated, and, subsequently, the complex frequencies are extracted and compared against the specific values obtained by the WKB method when the coupling is turned off. Besides, the effect of the coupling on the low-lying quasinormal spectrum is explored, and its possible physical relevance is discussed.
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