论文标题
Bañados-teitelboim-Zanelli黑洞中的梯子操作员和准模式
Ladder operators and quasinormal modes in Bañados-Teitelboim-Zanelli black holes
论文作者
论文摘要
我们根据阶梯式操作员在静态的Bañados-teitelboim-Zanelli（BTZ）黑洞中研究了大型klein-gordon场的准模式（QNM）。由于BTZ时空是三维抗DE保姆时空的局部等距，梯形运算符，该阶梯算子将大量的klein-gordon方程的溶液映射到具有不同的质量平方的溶液中，可以由时空的符号对称性构建。在本文中，我们将梯子运算符应用于BTZ时空中克莱恩 - 戈登方程的QNM。我们证明，梯子操作员可以更改QNM泛音的指标，并且当我们在无穷大处强加Dirichlet或Neumann边界条件时，都可以从基本模式中生成所有泛音模式。我们还使用罗宾边界条件讨论了案例。
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.
