Generalized uncertainty principle and black hole thermodynamics * * Supported by the Program for NCET-12-1060, by the Sichuan Youth Science and Technology Foundation (2011JQ0019), FANEDD (201319), the Innovative Research Team in College of Sichuan Province (13TD0003), Ten Thousand Talent Program of Sichuan Province, Sichuan Natural Science Foundation (16ZB0178) and Meritocracy Research Funds of China West Normal University (17YC513, 17C050)

Abstract

Banerjee-Ghosh's work shows that the singularity problem can be naturally avoided by the fact that black hole evaporation stops when the remnant mass is greater than the critical mass when including the generalized uncertainty principle (GUP) effects with first- and second-order corrections. In this paper, we first follow their steps to reexamine Banerjee-Ghosh's work, but we find an interesting result: the remnant mass is always equal to the critical mass at the final stage of black hole evaporation with the inclusion of the GUP effects. Then, we use Hossenfelder's GUP, i.e., another GUP model with higher-order corrections, to restudy the final evolution behavior of the black hole evaporation, and we confirm the intrinsic self-consistency between the black hole remnant and critical masses once more. In both cases, we also find that the thermodynamic quantities are not singular at the final stage of black hole evaporation.