Stability and topological nature of charged Gauss-Bonnet AdS black holes in five dimensions

IF 5 2区物理与天体物理 Q1 Physics and Astronomy Physical Review D Pub Date : 2025-03-03 DOI:10.1103/physrevd.111.064006

Imtak Jeon, Bum-Hoon Lee, Wonwoo Lee, Madhu Mishra

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Abstract

We investigate the thermodynamics of Reissner-Nordström Gauss-Bonnet (RN-GB) black holes in anti–de Sitter (AdS) space with three horizon geometries (k=+1,0,−1) within the grand canonical ensemble. Using the recently developed topological approach to black hole thermodynamics, inspired by Duan’s ϕ-mapping theory, we analyze the black holes by treating both critical points in the phase diagram and black hole solutions as defects in the thermodynamic parameter space. Our results show that the Gauss-Bonnet coupling significantly alters the topological classification of RN-GB AdS black holes, distinguishing them from their RN AdS counterparts in the grand canonical ensemble while aligning with their canonical ensemble counterparts. Complementary analyses of local stability using specific heat validate the implication of topological analysis. Furthermore, an evaluation of global stability via Gibbs free energy provides a comprehensive understanding on system phase structure. Notably, for k=+1, topological analysis suggests liquid-gas-type phase transitions, whereas global analysis favors Hawking-Page transitions. For k=−1, topology indicates a single stable black hole branch, yet the global analysis reveals the presence of Hawking-Page transitions.

Published by the American Physical Society

2025

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.

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