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

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arxiv 1210.3760 v2 pith:U5WMNZSI submitted 2012-10-14 hep-th gr-qc

classification hep-thgr-qc
keywords blackholeschwarzschildconformalhiddensymmetryfrequenciesquasinormal
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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.

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  1. pp-Waves and the Hidden Symmetries of Black Hole Quasinormal Modes

    hep-th 2024-12 conditional novelty 6.0 of 10

    Penrose limits onto the photon ring and past horizon of Schwarzschild produce pp-wave spacetimes whose isometries generate the evenly spaced overtones of eikonal and highly damped quasinormal modes.

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