Near horizon symmetry and entropy formula for Kerr-Newman (A)dS black holes

Abstract In this paper we provide the first non-trivial evidence for universality of the entropy formula 4πJ 0+ J 0− beyond pure Einstein gravity in 4-dimensions. We consider the Einstein-Maxwell theory in the presence of cosmological constant, then write near horizon metric of the Kerr-Newman (A)dS...

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Main Authors: Mohammad Reza Setare, Hamed Adami
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP04(2018)133
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author Mohammad Reza Setare
Hamed Adami
author_facet Mohammad Reza Setare
Hamed Adami
author_sort Mohammad Reza Setare
collection DOAJ
description Abstract In this paper we provide the first non-trivial evidence for universality of the entropy formula 4πJ 0+ J 0− beyond pure Einstein gravity in 4-dimensions. We consider the Einstein-Maxwell theory in the presence of cosmological constant, then write near horizon metric of the Kerr-Newman (A)dS black hole in the Gaussian null coordinate system. We consider near horizon fall-off conditions for metric and U(1) gauge field. We find asymptotic combined symmetry generator, consists of diffeomorphism and U(1) gauge transformation, so that it preserves fall-off conditions. Consequently, we find supertranslation, supperrotation and multiple-charge modes and then we show that the entropy formula is held for the Kerr-Newman (A)dS black hole. Supperrotation modes suffer from a problem. By introducing new combined symmetry generator, we cure that problem.
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spelling doaj.art-96a705456194489bae9bea05d52a1f402022-12-22T01:13:11ZengSpringerOpenJournal of High Energy Physics1029-84792018-04-012018412010.1007/JHEP04(2018)133Near horizon symmetry and entropy formula for Kerr-Newman (A)dS black holesMohammad Reza Setare0Hamed Adami1Department of Science, Campus of Bijar, University of KurdistanDepartment of Science, Campus of Bijar, University of KurdistanAbstract In this paper we provide the first non-trivial evidence for universality of the entropy formula 4πJ 0+ J 0− beyond pure Einstein gravity in 4-dimensions. We consider the Einstein-Maxwell theory in the presence of cosmological constant, then write near horizon metric of the Kerr-Newman (A)dS black hole in the Gaussian null coordinate system. We consider near horizon fall-off conditions for metric and U(1) gauge field. We find asymptotic combined symmetry generator, consists of diffeomorphism and U(1) gauge transformation, so that it preserves fall-off conditions. Consequently, we find supertranslation, supperrotation and multiple-charge modes and then we show that the entropy formula is held for the Kerr-Newman (A)dS black hole. Supperrotation modes suffer from a problem. By introducing new combined symmetry generator, we cure that problem.http://link.springer.com/article/10.1007/JHEP04(2018)133Black HolesGauge SymmetryGlobal SymmetriesSpace-Time Symmetries
spellingShingle Mohammad Reza Setare
Hamed Adami
Near horizon symmetry and entropy formula for Kerr-Newman (A)dS black holes
Journal of High Energy Physics
Black Holes
Gauge Symmetry
Global Symmetries
Space-Time Symmetries
title Near horizon symmetry and entropy formula for Kerr-Newman (A)dS black holes
title_full Near horizon symmetry and entropy formula for Kerr-Newman (A)dS black holes
title_fullStr Near horizon symmetry and entropy formula for Kerr-Newman (A)dS black holes
title_full_unstemmed Near horizon symmetry and entropy formula for Kerr-Newman (A)dS black holes
title_short Near horizon symmetry and entropy formula for Kerr-Newman (A)dS black holes
title_sort near horizon symmetry and entropy formula for kerr newman a ds black holes
topic Black Holes
Gauge Symmetry
Global Symmetries
Space-Time Symmetries
url http://link.springer.com/article/10.1007/JHEP04(2018)133
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