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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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Published in: | Physical review. D 2019-03, Vol.99 (6), Article 064052 |
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container_title | Physical review. D |
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creator | Iofa, Mikhail Z. |
description | 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. |
doi_str_mv | 10.1103/PhysRevD.99.064052 |
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subjects | Asymptotic properties Black holes Einstein equations Schwarzschild metric |
title | Near-horizon symmetries of the Schwarzschild black holes with supertranslation field |
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