BMS Goldstone modes near the horizon of a Kerr black hole are thermal
arXiv:2107.12164 · doi:10.1016/j.physletb.2021.136825
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.
Minor modifications, to appear Phys. Lett. B
References in corpus (16)
- Gravitational action with null boundaries
- Universality in Chaos of Particle Motion near Black Hole Horizon
- Generalized Black Holes in Three-dimensional Spacetime
- Noether current from the surface term of gravitational action, Virasoro algebra and horizon entropy
- Higher Spin Black Holes with Soft Hair
- Thermal Emission from Semi-classical Dynamical Systems
- On the Membrane Paradigm and Spontaneous Breaking of Horizon BMS Symmetries
- Near horizon local instability and quantum thermality
- Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Generic AdS3 Black Holes
- Horizon supertranslation and degenerate black hole solutions
- Symmetries at the black hole horizon
- Conformal Transformation, Near Horizon Symmetry, Virasoro Algebra and Entropy
- Spontaneously Broken Asymptotic Symmetries and an Effective Action for Horizon Dynamics
- Asymptotic symmetries of QED and Weinberg's soft photon theorem
- Noncomutativity in near horizon symmetries in gravity
- Thermalization of horizon through asymptotic symmetry in three-dimensional massive gravity