Near-horizon symmetries of the Schwarzschild black holes with supertranslation field

Using the exact solution to Einstein equations of Compere and Long for the Schwarzschild metric containing the supertranslation field, we study the near-horizon symmetries of the metric. We consider a class of metrics with a supertranslation field depending only on a spherical angle θ . After review...

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Bibliographic Details
Published in:Physical review. D 2019-03, Vol.99 (6), Article 064052
Main Author: Iofa, Mikhail Z.
Format: Article
Language:English
Subjects:
Asymptotic properties
Black holes
Einstein equations
Schwarzschild metric
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Summary:Using the exact solution to Einstein equations of Compere and Long for the Schwarzschild metric containing the supertranslation field, we study the near-horizon symmetries of the metric. We consider a class of metrics with a supertranslation field depending only on a spherical angle θ . After reviewing the action of supertranslations preserving the static gauge of the metric, we study general transformations preserving the near-horizon form of the metric. We determine the asymptotic Killing vectors and calculate the charge corresponding to the asymptotic symmetries preserving the form of the metric at the horizon.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.99.064052