8/29/2023 0 Comments BLACKHOLE 1.0 download![]() Finally, we find that the Hawking-Page phase transition occurs between a large black hole and a thermal AdS space. For an uncharged black holes, the effect of Gauss-Bonnet becomes crucial, as it behaves as a charged black hole with an effective charge. 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. We derive the conjugate quantities corresponding to the first law in the RPST formalism. ![]() By this ansatz, we conclude that the Gauss-Bonnet action multiplied by a temperature, behaves as a free energy. Our setup is constructed by using the AdS/CFT correspondence and by introducing a conjugate quantity of the Gauss-Bonnet parameter. 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). In this paper, we study thermodynamics of charged and uncharged 4-Dimension Einstein-Gauss-Bonnet (4D-EGB) black holes.
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