Hawking radiation and entropy in de Sitter spacetime

Details Hawking radiation and entropy in de Sitter spacetime Hawking radiation and entropy in de Sitter spacetime

2010-04-28

arxiv.org/abs/1004.5162v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages,Accepted for publication in Astrophysics & Space Science

Scientific paper

Using the analytic extension method, we study Hawking radiation of an $(n + 4)$-dimensional Schwarzschild-de Sitter black hole. Under the condition that the total energy is conserved, taking the reaction of the radiation of particles to the spacetime into consideration and considering the relation between the black hole event horizon and cosmological horizon, we obtain the radiation spectrum of de Sitter spacetime. This radiation spectrum is no longer a strictly pure thermal spectrum. It is related to the change of the Bekenstein-Hawking(B-H) entropy corresponding the black hole event horizon and cosmological horizon. The result satisfies the unitary principle. At the same time, we also testify that the entropy of de Sitter spacetime is the sum of the entropy of black hole event horizon and the one of cosmological horizon.

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