Diffeomorphism on Horizon as an Asymptotic Isometry of Schwarzschild Black Hole

Details Diffeomorphism on Horizon as an Asymptotic Isometry of Schwarzschild Black Hole Diffeomorphism on Horizon as an Asymptotic Isometry of Schwarzschild Black Hole

2000-11-13

arxiv.org/abs/gr-qc/0011043v3

Class.Quant.Grav. 18 (2001) 1823-1834

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, no figures, corrected some typos

Scientific paper

10.1088/0264-9381/18/10/301

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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