Quasinormal modes and hidden conformal symmetry in the Reissner–Nordström black hole
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It is shown that the scalar wave equation in the near-horizon limit respects a hidden SL(2, R) invariance in the Reissner–Nordström (RN) black hole spacetimes. We use the SL(2, R) symmetry to determine algebraically the purely imaginary quasinormal frequencies of the RN black hole. We confirm that these are exactly quasinormal modes of scalar perturbation around the near-horizon region of a near-extremal black hole.
KeywordsBlack Hole Event Horizon Gordon Equation Quasinormal Mode Scalar Perturbation
We would like to thank B. Chen and C.-M. Chen for helpful discussions. This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) through the Center for Quantum Spacetime (CQUeST) of Sogang University with grant number 2005-0049409. Y.S. Myung was also supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (No. 2012-R1A1A2A10040499). Y.-J. Park was also supported by World Class University program funded by the Ministry of Education, Science and Technology through the National Research Foundation of Korea (No. R31-20002).
- 13.H. Li, arXiv:1108.0220 [hep-th]