Hawking Effect with Generalized Uncertainty Principle and Modified Dispersion Relations in de Sitter-Schwarzschild Black Hole

Abstract

Although the tunneling approach is well established for black hole’s radiation, much works have been done to support the extension of this approach to more general settings. In This letter the Parikh-Kraus-Wilczek tunneling proposal of black hole’s tunneling radiation has been considered. The de Sitter-Schwarzschild black hole’s thermodynamics has been studied based on both, the generalized uncertainty principle and the modified dispersion relations analysis. It is shown that entropy, temperature and the original Parikh-Kraus-Wilczek calculations of the black hole’s tunneling probability receive new corrections. The results of these two alternative approaches are identical if one uses the suitable expansion coefficients.