Scattering amplitudes and thermal temperatures of the Schwarzschild-de Sitter black holes

Abstract

We study thermodynamic evaporation of Schwarzschild-de Sitter black holes in terms of a low energy perturbation theory. A small black hole which is far from the cosmological horizon and observers at the spacelike hypersurface where black hole attraction and expansion of cosmological horizon balance exactly are considered. In the low energy perturbation, scalar field equations are solved in both regions of the hypersurface and scattering amplitudes are derived. And then the desired thermal temperatures from the two horizons are obtained as a ``minimal'' value of the statistical thermal temperature, and the fine-tuning between amplitudes gives a relation of the two temperatures.

15pages, 1figure, Some discussions are added, To Appear in Phys. Rev. D

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• Universal Low-Energy Dynamics for Rotating Black Holes
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• Surface gravity and Hawking temperature from entropic force viewpoint
• Absorption cross section in de Sitter space
• Unruh effect of nonlocal field theories with a minimal length
• Dynamical Behavior of dilaton in de Sitter space
• Dilatonic tachyon in Kerr-de Sitter space