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Thermodynamics and phase transition in central charge criticality of charged Gauss-Bonnet AdS black holes

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arxiv 2211.08127 v2 pith:KQKG7TCY submitted 2022-11-15 gr-qc

Thermodynamics and phase transition in central charge criticality of charged Gauss-Bonnet AdS black holes

classification gr-qc
keywords blackholesconstantgauss-bonnetthermodynamicscentralchargecharged
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we investigate the thermodynamics of D-dimensional charged Gauss-Bonnet black holes in anti-de Sitter spacetime. Varying the cosmological constant, Newton constant and Gauss-Bonnet coupling constant in the bulk, one can rewrite the first law of thermodynamics for black holes. Furthermore, we introduce the central charge and study the critical behaviors, which show the apparent discrepancy from other black holes. Based on this approach, we disclose the phase transition structures in $D=4, 5$, and $6$. Besides, a triple point where the small/intermediate/large black holes can coexist is found in $D=6$.

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  1. Extended Thermodynamics and Renyi Entropy Beyond Fixed Central Charge

    hep-th 2026-06 unverdicted novelty 5.0

    A central-charge Rényi entropy is constructed via the CHM map in a grand canonical ensemble with fixed charge, volume, and central charge potential, shown to obey Rényi inequalities and to separate theory space into d...