paper

Diffeomorphism on Horizon as an Asymptotic Isometry of Schwarzschild Black Hole

arXiv:gr-qc/0011043 · doi:10.1088/0264-9381/18/10/301

Abstract

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.

18 pages, no figures, corrected some typos

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