Title: Modification to the Hawking temperature of a dynamical black hole by a flow-induced supertranslation

Abstract

One interesting proposal to solve the black hole information loss paradox without modifying either general relativity or quantum field theory, is the soft hair, a diffeomorphism charge that records the anisotropic radiation in the asymptotic region. This proposal, however, has been challenged, given that away from the source the soft hair behaves as a coordinate transformation that forms an Abelian group, thus unable to store any information. To maintain the spirit of the soft hair but circumvent these obstacles, we consider Hawking radiation as a probe sensitive to the entire history of the black hole evaporation, where the soft hairs on the horizon are induced by the absorption of a null anisotropic flow, generalizing the shock wave considered in [1, 2]. To do so we introduce two different time-dependent extensions of the diffeomorphism associated with the soft hair, where one is the backreaction of the anisotropic null flow, and the other is a coordinate transformation that produces the Unruh effect and a Doppler shift to the Hawking spectrum. Together, they form an exact BMS charge generator on the entire manifold that allows the nonperturbative analysis of the black hole horizon, whose surface gravity, i.e. the Hawking temperature, is found tomore » be modified. The modification depends on an exponential average of the anisotropy of the null flow with a decay rate of 4M, suggesting the emergence of a new 2-D degree of freedom on the horizon, which could be a way out of the information loss paradox.« less

Authors:

Chiang, Hsu-Wen ^[1]; Kung, Yu-Hsien  ^[1];

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Chen, Pisin ^[2]

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+ Show Author Affiliations

1. National Taiwan Univ., Taipei (Taiwan); Leung Center for Cosmology and Particle Astrophysics; National Taiwan Univ., Taipei (Taiwan)
2. National Taiwan Univ., Taipei (Taiwan); Leung Center for Cosmology and Particle Astrophysics; National Taiwan Univ., Taipei (Taiwan); SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States). Kavli Inst. for Particle Astrophysics and Cosmology

Publication Date:

Mon Dec 14 00:00:00 EST 2020

Research Org.:

SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Org.:

USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:

1768056

Grant/Contract Number:  

AC02-76SF00515

Resource Type:

Accepted Manuscript

Journal Name:

Journal of High Energy Physics (Online)

Additional Journal Information:

Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 12; Journal ID: ISSN 1029-8479

Publisher:

Springer Berlin

Country of Publication:

United States

Language:

English

Subject:

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Black holes; classical theories of gravity; space-time symmetries; no-hair theorem; information loss paradox; soft hair; BMS; supertranslation; gravitational memory effect; surface gravity; apparent horizon