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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Format: | Article |
Language: | English |
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Elsevier
2022-01-01
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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. |
first_indexed | 2024-04-11T20:43:59Z |
format | Article |
id | doaj.art-eb39327aba4b49898416d44374ef2317 |
institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-04-11T20:43:59Z |
publishDate | 2022-01-01 |
publisher | Elsevier |
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series | Physics Letters B |
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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