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Soft hair of dynamical black hole and Hawking radiation

  • Chong-Sun Chu
  • Yoji Koyama
Open Access
Regular Article - Theoretical Physics
First Online:
Received:
Accepted:

Abstract

Soft hair of black hole has been proposed recently to play an important role in the resolution of the black hole information paradox. Recent work has emphasized that the soft modes cannot affect the black hole S-matrix due to Weinberg soft theorems. However as soft hair is generated by supertranslation of geometry which involves an angular dependent shift of time, it must have non-trivial quantum effects. We consider supertranslation of the Vaidya black hole and construct a non-spherical symmetric dynamical spacetime with soft hair. We show that this spacetime admits a trapping horizon and is a dynamical black hole. We find that Hawking radiation is emitted from the trapping horizon of the dynamical black hole. The Hawking radiation has a spectrum which depends on the soft hair of the black hole and this is consistent with the factorization property of the black hole S-matrix.

Keywords

Black Holes Space-Time Symmetries 
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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Physics Division, National Center for Theoretical SciencesNational Tsing-Hua UniversityHsinchuTaiwan
  2. 2.Department of PhysicsNational Tsing-Hua UniversityHsinchuTaiwan

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