论文标题
Einstein-æther重力和轴向重力准模式中的Ellis排水溶液
Ellis drainhole solution in Einstein-Æther gravity and the axial gravitational quasinormal modes
论文作者
论文摘要
在这项工作中，Ellis排水液溶液衍生在爱因斯坦 - 催量中，随后，研究了所得的排水孔的轴向准模式。由于存在具有抗thodox耦合极性的最小耦合标量场，因此所得的度量溶液由喉而不是地平线进行特征，为此，静态æther溶液变得可行。此外，轴向重力扰动的派生主方程由两个耦合矢量自由度组成。通过利用有限差异方法，评估了准振荡的时间曲线，并随后提取复杂频率并将其与WKB方法获得的特定值进行比较。此外，还探索了耦合对低横层准频谱的影响，并讨论了其可能的物理相关性。
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.
