BMS Goldstone modes near the horizon of a Kerr black hole are thermal

Near horizon Bondi-Metzner-Sachs (BMS) like symmetry is spontaneously broken by the black hole background itself and hence gives rise to Goldstone mode. The associated Goldstone mode for the near horizon BMS like symmetry of a Schwarzschild black hole was found to behave like inverted harmonic oscil...

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Main Authors: Mousumi Maitra, Debaprasad Maity, Bibhas Ranjan Majhi
Format: Article
Language:English
Published: Elsevier 2022-01-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269321007656
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author Mousumi Maitra
Debaprasad Maity
Bibhas Ranjan Majhi
author_facet Mousumi Maitra
Debaprasad Maity
Bibhas Ranjan Majhi
author_sort Mousumi Maitra
collection DOAJ
description Near horizon Bondi-Metzner-Sachs (BMS) like symmetry is spontaneously broken by the black hole background itself and hence gives rise to Goldstone mode. The associated Goldstone mode for the near horizon BMS like symmetry of a Schwarzschild black hole was found to behave like inverted harmonic oscillators, which has been further shown to lead to thermodynamic temperature in the semi-classical regime. Here we investigate the generalization of this previous findings for the Kerr black hole. The analysis is being performed for two different situations. Firstly, we analyze Goldstone mode dynamics considering slowly rotating Kerr. In other case the problem is solved in the frame of zero angular momentum observer (ZAMO) with arbitrary value of rotation. In both analysis the effective semi-classical temperature of Goldstone modes turns out to be proportional to that of Hawking temperature. Due to such similarity and generality we feel that these Goldstone modes may play important role to understand the underlying microscopic description of horizon thermalization.
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spelling doaj.art-eb39327aba4b49898416d44374ef23172022-12-22T04:04:06ZengElsevierPhysics Letters B0370-26932022-01-01824136825BMS Goldstone modes near the horizon of a Kerr black hole are thermalMousumi Maitra0Debaprasad Maity1Bibhas Ranjan Majhi2Corresponding author.; Department of Physics, Indian Institute of Technology Guwahati, Guwahati 781039, Assam, IndiaDepartment of Physics, Indian Institute of Technology Guwahati, Guwahati 781039, Assam, IndiaDepartment of Physics, Indian Institute of Technology Guwahati, Guwahati 781039, Assam, IndiaNear horizon Bondi-Metzner-Sachs (BMS) like symmetry is spontaneously broken by the black hole background itself and hence gives rise to Goldstone mode. The associated Goldstone mode for the near horizon BMS like symmetry of a Schwarzschild black hole was found to behave like inverted harmonic oscillators, which has been further shown to lead to thermodynamic temperature in the semi-classical regime. Here we investigate the generalization of this previous findings for the Kerr black hole. The analysis is being performed for two different situations. Firstly, we analyze Goldstone mode dynamics considering slowly rotating Kerr. In other case the problem is solved in the frame of zero angular momentum observer (ZAMO) with arbitrary value of rotation. In both analysis the effective semi-classical temperature of Goldstone modes turns out to be proportional to that of Hawking temperature. Due to such similarity and generality we feel that these Goldstone modes may play important role to understand the underlying microscopic description of horizon thermalization.http://www.sciencedirect.com/science/article/pii/S0370269321007656
spellingShingle Mousumi Maitra
Debaprasad Maity
Bibhas Ranjan Majhi
BMS Goldstone modes near the horizon of a Kerr black hole are thermal
Physics Letters B
title BMS Goldstone modes near the horizon of a Kerr black hole are thermal
title_full BMS Goldstone modes near the horizon of a Kerr black hole are thermal
title_fullStr BMS Goldstone modes near the horizon of a Kerr black hole are thermal
title_full_unstemmed BMS Goldstone modes near the horizon of a Kerr black hole are thermal
title_short BMS Goldstone modes near the horizon of a Kerr black hole are thermal
title_sort bms goldstone modes near the horizon of a kerr black hole are thermal
url http://www.sciencedirect.com/science/article/pii/S0370269321007656
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