论文标题
三个和四个维度的分析黑孔配置状态
Quasibound states of analytic black-hole configurations in three and four dimensions
论文作者
论文摘要
在这项工作中，我们分析了（2+1）和（3+1）时空尺寸的UNRUH声学有效几何形状的声音扰动，并通过使用最近开发的新方法对这些理想的黑洞构型的准式状态呈现出确切的分析表达，该方法都使用了高温功能的多项性条件。我们的主要目标是讨论在这种有效指标中拥有事件视野的影响。我们还讨论了系统的稳定性，并介绍了与这些Quasibound状态频率相关的径向征函数。这些指标仅假定事件地平线附近的Schwarzschild黑洞的形式，因此，原则上可以通过模拟声学探针向天体物理黑洞的基本经典和量子物理学散发出一些光。
In this work we analyze the sound perturbation of Unruh's acoustic effective geometry in both (2+1) and (3+1) spacetime dimensions and present an exact analytical expression for the quasibound states of these idealized black-hole configurations by using a new approach recently developed, which uses the polynomial conditions of the hypergeometric functions. Our main goal is to discuss the effects of having an event horizon in such effective metrics. We also discuss the stability of the systems and present the radial eigenfunctions related to these quasibound state frequencies. These metrics assume just the form it has for a Schwarzschild black hole near the event horizon, and therefore may, in principle, shed some light into the underlying classical and quantum physics of astrophysical black holes through analog acoustic probes.
