In this paper, we have obtained modified black hole temperatures in rainbow gravity by employing both the modified dispersion relation (MDR) and the three different types of generalized uncertainty principles (GUPs) including the extended uncertainty principle (EUP). We also investigate their thermodynamic stabilities of the modified Schwarzschild black hole according to the different GUPs.
@article{arxiv.1709.07755,
title = {Generalized uncertainty principles and black hole temperatures in rainbow gravity},
author = {Yong-Wan Kim and Seung Kook Kim and Young-Jai Park},
journal= {arXiv preprint arXiv:1709.07755},
year = {2017}
}