Quasinormal modes and hidden conformal symmetry in the Reissner-Nordstrom black hole
Yong-Wan Kim, Yun Soo Myung, Young-Jai Park
TL;DR
This paper reveals a hidden conformal symmetry in the scalar wave equation near the horizon of Reissner-Nordstrom black holes, enabling algebraic determination of quasinormal frequencies, especially in near-extremal cases.
Contribution
It uncovers a hidden SL(2,R) symmetry in the near-horizon scalar wave equation of RN black holes and uses it to compute quasinormal modes algebraically.
Findings
Identifies a hidden SL(2,R) symmetry in the near-horizon scalar wave equation.
Derives algebraic expressions for quasinormal frequencies.
Confirms the frequencies match scalar perturbation modes in near-extremal RN black holes.
Abstract
It is shown that the scalar wave equation in the near-horizon limit respects a hidden SL(2,R) invariance in the Reissner-Nordstrom (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-extremal black hole.
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