Ladder operators and quasinormal modes in Ba?ados-Teitelboim-Zanelli black holes
Ladder operators and quasinormal modes in Ba?ados-Teitelboim-Zanelli black holes
复制标题
Bañados-Teitelboim-Zanelli 黑洞中的梯子算子和拟正规模式
DOI：
10.1103/physrevd.106.044052
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发表时间：
2022
影响因子：
5
通讯作者：
Kimura Masashi
中科院分区：
文献类型：
--
作者：
Katagiri Takuya;Kimura Masashi
利用时空共形对称构造的阶梯算符，研究了静态BTZ黑洞中大质量Klein-Gordon场的准正规模。由于BTZ时空与三维反de Sitter时空在局部等距，因此可以从时空的共形对称性出发，构造梯形算符，将质量Klein-Gordon方程的解映射到具有不同质量平方的解。本文将梯形算符应用于BTZ时空中Klein-Gordon方程的QNM中。我们证明了阶梯算符可以改变QNM泛音的折射率，当我们在无穷远处施加Dirichlet或Neumann边界条件时，所有的泛音模都可以由一个基模产生。我们还讨论了具有Robin边界条件的情况。
We study quasinormal modes (QNMs) of massive Klein-Gordon fields in static Bañados-Teitelboim-Zanelli (BTZ) black holes in terms of ladder operators constructed from spacetime conformal symmetries. Because the BTZ spacetime is locally isometric to the three-dimensional anti-de Sitter spacetime, ladder operators, which map a solution of the massive Klein-Gordon equation into that with different mass squared, can be constructed from spacetime conformal symmetries. In this paper, we apply the ladder operators to the QNMs of the Klein-Gordon equations in the BTZ spacetime. We demonstrate that the ladder operators can change indices of QNM overtones, and all overtone modes can be generated from a fundamental mode when we impose the Dirichlet or Neumann boundary condition at infinity. We also discuss the case with the Robin boundary condition.