摘要
The Banerjee-Majhi＇s recent work shows that the Hawking radiation and entropy/area quantum of the black hole horizon （EH） can be well described in the tunneling picture. In this paper, we develop this idea to the case of a de Sitter tunneling from the cosmological horizon （CH）, and obtain the Hawking emission spectrum and entropy/area spectroscopy from the CH of the purely de Sitter black hole as well as the Schwarzschild-de Sitter black hole. It is interestingly found that the area of the CH is quantized by ΔA = 41pl2, as was given by Hod for the area quantum of-the EH by considering the Heisenberg uncertainty principle and Schwinger-type emission process. Also, we conclude from our derivation that the entropy/area quantum of the CH is universal in the sense that it is independent of the black hole parameters. This realization implies that, （at least） at a semiclassical level, the de Sitter gravity shares the similar quantum behavior as the usual gravity without presence of a cosmological constant.
基金
Supported by the National Natural Science Foundation of China under Grant No.11005086
by the Sichuan Youth Science and Technology Foundation under Grant No.2011JQ0019
by a Starting Fund of China West Normal University under Grant No.10B016
