Hawking radiation of stationary and non-stationary Kerr–de Sitter black holes

doi:10.1088/1674-1056/24/7/070401

Abstract Hawking radiation of the stationary Kerr–de Sitter black hole is investigated using the relativistic Hamilton–Jacobi method. Meanwhile, extending this work to a non-stationary black hole using Dirac equations and generalized tortoise coordinate transformation, we derived the locations, the temperature of the thermal radiation as well as the maximum energy of the non-thermal radiation. It is found that the surface gravity and the Hawking temperature depend on both time and different angles. An extra coupling effect is obtained in the thermal radiation spectrum of Dirac particles which is absent from thermal radiation of scalar particles. Further, the chemical potential derived from the thermal radiation spectrum of scalar particle has been found to be equal to the highest energy of the negative energy state of the scalar particle in the non-thermal radiation for the Kerr–de Sitter black hole. It is also shown that for stationary black hole space time, these two different methods give the same Hawking radiation temperature.

Keywords: Hamilton-Jacobi method non-stationary Kerr-de Sitter black hole Hawking radiation generalized tortoise coordinate transformation

Received: 10 December 2014
Revised: 04 February 2015
Accepted manuscript online:

PACS:	04.70.-s	(Physics of black holes)
	04.70.Dy	(Quantum aspects of black holes, evaporation, thermodynamics)

Corresponding Authors: T. Ibungochouba Singh
E-mail: ibungochouba@rediffmail.com

Cite this article:

T. Ibungochouba Singh Hawking radiation of stationary and non-stationary Kerr–de Sitter black holes 2015 Chin. Phys. B 24 070401

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Hawking radiation of stationary and non-stationary Kerr–de Sitter black holes

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