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It is argued that the diffeomorphism on the horizontal sphere can be regardedas a nontrivial asymptotic isometry of the Schwarzschild black hole. We proposea new boundary condition of asymptotic metrics near the horizon and show thatthe condition admits the local time-shift and diffeomorphism on the horizon asthe asymptotic symmetry.Comment: 18 pages, no figures, corrected some typo

Diffeomorphism on the horizon as an asymptotic isometry of the Schwarzschild black hole