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Black hole evaporation in de Sitter space

Lookup NU author(s): Professor Ian MossORCiD



This is the authors' accepted manuscript of an article that has been published in its final definitive form by IOP Publishing Ltd, 2021.

For re-use rights please refer to the publisher's terms and conditions.


© 2021 IOP Publishing Ltd.We investigate the evaporation process of a Kerr-de Sitter black hole with the Unruh-Hawking-like vacuum state, which is a realistic vacuum state modelling the evaporation process of a black hole originating from gravitational collapse. We also compute the greybody factors for gravitons, photons, and conformal-coupling massless scalar particles by using the analytic solutions of the Teukolsky equation in the Kerr-de Sitter background. It turns out that the cosmological constant quenches the amplification factor and it approaches to zero towards the critical point where the Nariai and extremal limits merge together. We confirm that even near the critical point, the superradiance of gravitons is more significant than that of photons and scalar particles. Angular momentum is carried out by particles several times faster than the mass energy decreases. This means that a Kerr-de Sitter black hole rapidly spins down to a nearly Schwarzschild-de Sitter black hole before it completely evaporates. We also compute the time evolution of the Bekenstein-Hawking entropy. The total entropy of the Kerr-de Sitter black hole and cosmological horizon increases with time, which is consistent with the generalized second law of thermodynamics.

Publication metadata

Author(s): Gregory R, Moss IG, Oshita N, Patrick S

Publication type: Article

Publication status: Published

Journal: Classical and Quantum Gravity

Year: 2021

Volume: 38

Issue: 18

Print publication date: 16/09/2021

Online publication date: 23/08/2021

Acceptance date: 03/08/2021

Date deposited: 10/11/2021

ISSN (print): 0264-9381

ISSN (electronic): 1361-6382

Publisher: IOP Publishing Ltd


DOI: 10.1088/1361-6382/ac1a68


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