Quasinormal modes and hidden conformal symmetry in the Reissner-Nordstrom black hole

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.

17 pages, 1 figure, version to appear in EPJC

References in corpus (3)

• Relaxation dynamics of charged gravitational collapse
• The Highly Damped Quasinormal Modes of $d$-dimensional Reissner-Nordstrom Black Holes in the Small Charge Limit
• A note on the hidden conformal structure of non-extremal black holes

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