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arXiv · 2008.01985

Hawking--Page phase transitions in four-dimensional Einstein--Gauss--Bonnet gravity

Yuan-Yuan Wang·Bing-Yu Su·Nan Li
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Abstract

The Hawking-Page (HP) phase transitions of the anti-de Sitter black holes in the extended phase space are studied in a novel four-dimensional Einstein-Gauss-Bonnet (4EGB) gravity, which is proposed by rescaling the Gauss--Bonnet (GB) coupling constant $\alpha\to\alpha/(d-4)$ in $d$ dimensions and redefining the four-dimensional gravity in the limit $d \to 4$. The GB term shows nontrivial contributions to both black hole mass and entropy simultaneously, and decreases the HP phase transition temperature $T_{\rm HP}$. Moreover, the HP phase transitions can happen only within a range of pressure in the 4EGB gravity. For the charged black holes, $T_{\rm HP}$ also decreases with the electric potential in the grand canonical ensemble. A general discussion of the HP phase transitions in the Einstein, GB, and 4EGB gravities is also presented.

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Yuan-Yuan Wang, Bing-Yu Su, Nan Li. 2020-08-05. Hawking--Page phase transitions in four-dimensional Einstein--Gauss--Bonnet gravity. https://arxiv.org/abs/2008.01985

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