Non-thermal radiation of black holes off canonical typicality

¹ Beijing Computational Science Research Center - Beijing 100193, China
² Graduate School of Chinese Academy of Engineering Physics - Beijing 100084, China
³ State Key Laboratory of Magnetic Resonances and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences - Wuhan 430071, China

^(a) yhma@csrc.ac.cn
^(b) cpsun@csrc.ac.cn

Received: 15 January 2018
Accepted: 28 May 2018

Abstract

We study the Hawking radiation of black holes by considering the canonical typicality. For the universe consisting of black holes and their outer part, we directly obtain a non-thermal radiation spectrum of an arbitrary black hole from its entropy, which only depends on a few external qualities (known as hairs), such as mass, charge, and angular momentum. Our result shows that the spectrum of the non-thermal radiation is independent of the detailed quantum tunneling dynamics across the black hole horizon. We prove that the black hole information paradox is naturally resolved by taking into account the correlation between the black hole and its radiation in our approach.