The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes
Abstract
In this paper, we investigate the phase transitions of Reissner-Nordström (RN) and Schwarzschild black holes for the extended uncertainty principle (EUP) framework. Considering temperature T, charge Q and electric potential Φ as the state parameters, we show the van der Waals (vdW) like phase transition of RN black hole in Q - Φ diagrams and find the critical points depending on EUP parameter α. Furthermore, we find Hawking-Page like phase transition for Schwarzschild black hole. The results imply that the black holes in asymptotically flat space have the similar phase structure with the black holes in anti-de Sitter (AdS) space.
- Publication:
-
Nuclear Physics B
- Pub Date:
- October 2022
- DOI:
- 10.1016/j.nuclphysb.2022.115934
- arXiv:
- arXiv:2208.10961
- Bibcode:
- 2022NuPhB.98315934O
- Keywords:
-
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 11 pages, 6 figures