Horizon supertranslation and degenerate black hole solutions
General Relativity and Quantum Cosmology
2016-10-03 v2
Abstract
In this note we first review the degenerate vacua arising from the BMS symmetries. According to the discussion in [1] one can define BMS-analogous supertranslation and superrotation for spacetime with black hole in Gaussian null coordinates. In the leading and subleading orders of near horizon approximation, the infinitely degenerate black hole solutions are derived by considering Einstein equations with or without cosmological constant, and they are related to each other by the diffeomorphism generated by horizon supertranslation. Higher order results and degenerate Rindler horizon solutions also are given in appendices.
Keywords
Cite
@article{arxiv.1609.01056,
title = {Horizon supertranslation and degenerate black hole solutions},
author = {Rong-Gen Cai and Shan-Ming Ruan and Yun-Long Zhang},
journal= {arXiv preprint arXiv:1609.01056},
year = {2016}
}
Comments
21 pages,no figures, references added, match the version published in JHEP