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

IF 5.3 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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五维带电Gauss-Bonnet AdS黑洞的稳定性和拓扑性质

研究了大正则系综中具有三视界几何（k=+1,0,−1）的反德西特（AdS）空间中Reissner-Nordström高斯-博内（RN-GB）黑洞的热力学。利用最近发展的黑洞热力学拓扑方法，受Duan的ϕ-映射理论的启发，我们通过将相图中的临界点和黑洞解作为热力学参数空间中的缺陷来分析黑洞。我们的研究结果表明，高斯-邦纳耦合显著改变了RN- gb AdS黑洞的拓扑分类，将它们与大正则系综中的RN AdS黑洞区分开来，同时与正则系综中的RN AdS黑洞保持一致。利用比热对局部稳定性进行补充分析，验证了拓扑分析的意义。此外，通过吉布斯自由能对体系的整体稳定性进行了评价，从而对体系的相结构有了全面的了解。值得注意的是，当k=+1时，拓扑分析表明气液型相变，而全局分析倾向于霍金-佩奇相变。当k=−1时，拓扑结构表明存在一个稳定的黑洞分支，但全局分析表明存在霍金- page跃迁。2025年由美国物理学会出版

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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.