非Pöschl-Teller势支配的近极端Kerr-Newman-de Sitter时空中准正规模的解析公式
Analytic formula for quasinormal modes in the near-extreme Kerr-Newman-de Sitter spacetime governed by a non-Pöschl-Teller potential
摘要：
在极端的史瓦西-德西特背景中，标量场、电磁场和引力场的准正规模可以用解析形式表示为波施尔-特勒波动方程的本征值。我们证明了费米子场的微扰（由狄拉克方程和拉里塔-施温格方程给出）不会导致Pöschl-Teller有效势。尽管如此，使用弗罗贝纽斯方法，我们也可以在这种情况下解析地找到准正规模式。给出了近似极端Schwarzschild-de Sitter黑洞的准正规频率的解析公式，该公式对玻色子场和费米子场都适用。我们进一步将分析推广到带电旋转黑洞的情形，并找到了近极端Kerr-Newman-deSitter时空中各种自旋场的准正规模的一般解析公式。
英文摘要：
Quasinormal modes of scalar, electromagnetic, and gravitational fields in the extreme Schwarzschild-de Sitter background are known to be expressed in analytic form as eigenvalues of the Pöschl-Teller wavelike equation. We show that perturbations of fermionic fields (given by Dirac and Rarita-Schwinger equations) do not lead to the Pöschl-Teller effective potential. Nevertheless, using the Frobenius method we find quasinormal modes analytically in this case as well. We write down the analytical formula for quasinormal frequencies of the near-extreme Schwarzschild-de Sitter black holes, which is valid for both bosonic and fermionic fields. We further extend the analysis to the case of charged rotating black holes and find a general analytical formula for quasinormal modes of the fields of various spin for the near extreme Kerr-Newman-de Sitter spacetime.
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