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arXiv · 2303.00604

4D-EGB Black Holes in RPS Thermodynamics

Y. Ladghami·B. Asfour·A. Bouali·A. Errahmani·T. Ouali
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Abstract

In this paper, we study thermodynamics of charged and uncharged 4-Dimension Einstein-Gauss-Bonnet (4D-EGB) black holes. The context of this study is the Visser's holographic thermodynamics with a fixed anti-de Sitter radius and a variable Newton constant known as restricted phase space thermodynamics (RPST). Our setup is constructed by using the AdS/CFT correspondence and by introducing a conjugate quantity of the Gauss-Bonnet parameter. By this ansatz, we conclude that the Gauss-Bonnet action multiplied by a temperature, behaves as a free energy. We derive the conjugate quantities corresponding to the first law in the RPST formalism. The study of the $T-S$ processes and the effect of the Gauss-Bonnet constant, $\alpha$, show that thermodynamic properties of charged black holes depend on the Gauss-Bonnet term and the charge of black holes. For an uncharged black holes, the effect of Gauss-Bonnet becomes crucial, as it behaves as a charged black hole with an effective charge. Finally, we find that the Hawking-Page phase transition occurs between a large black hole and a thermal AdS space.

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Y. Ladghami, B. Asfour, A. Bouali, A. Errahmani, T. Ouali. 2023-02-28. 4D-EGB Black Holes in RPS Thermodynamics. https://doi.org/10.1016/j.dark.2023.101261

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