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arXiv · 2208.10961

The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes

Özgür Ökcü·Ekrem Aydiner
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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.

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Özgür Ökcü, Ekrem Aydiner. 2022-08-22. The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes. https://doi.org/10.1016/j.nuclphysb.2022.115934

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