BMS Goldstone modes near the horizon of a Kerr black hole are thermal
- URL: http://arxiv.org/abs/2107.12164v2
- Date: Fri, 10 Dec 2021 06:31:50 GMT
- Title: BMS Goldstone modes near the horizon of a Kerr black hole are thermal
- Authors: Mousumi Maitra, Debaprasad Maity, Bibhas Ranjan Majhi
- Abstract summary: 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.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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 {\it slowly rotating} Kerr. In other case the problem is solved in
the frame of {\it zero angular momentum observer} (ZAMO) with arbitrary value
of rotation. In both analysis the effective semi-classical temperature of
Goldstone modes turn 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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