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Diffeomorphism on Horizon as an Asymptotic Isometry of Schwarzschild Black Hole

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arxiv gr-qc/0011043 v3 pith:THBJRX5F submitted 2000-11-13 gr-qc hep-th

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keywords asymptoticdiffeomorphismhorizonblackconditionholeisometryschwarzschild
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It is argued that the diffeomorphism on the horizontal sphere can be regarded as a nontrivial asymptotic isometry of the Schwarzschild black hole. We propose a new boundary condition of asymptotic metrics near the horizon and show that the condition admits the local time-shift and diffeomorphism on the horizon as the asymptotic symmetry.

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  1. Higher-curvature corrections and near horizon symmetries

    hep-th 2025-06 conditional novelty 6.0 of 10

    Near-horizon supertranslation charges in Lovelock gravity are nested curvature invariants weighted by a supertranslation function, and in four dimensions they reduce to the Jackiw-Teitelboim action.

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