Quasinormal frequencies using the hidden conformal symmetry of the Schwarzschild black hole

Abstract

We show that the hidden conformal symmetry of the Schwarzschild black hole is realized from the AdS${}_2$ sector of the AdS${}_2\times S^2$, but not from the Rindler spacetime which is the genuine near-horizon geometry of the Schwarzschild black hole. This implies that purely imaginary quasinormal frequencies obtained using the hidden conformal symmetry is not suitable for describing the largely damped modes around the Schwarzschild black hole.

arXiv comment18 pages, 1 figure

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Cited by in corpus (4)

• Hidden conformal symmetry on the black hole photon sphere
• pp-Waves and the Hidden Symmetries of Black Hole Quasinormal Modes
• Harrison metrics for the Schwarzschild black hole
• Quasinormal frequencies of a massless scalar in the hidden Kerr/CFT proposal