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The discovery of new four-dimensional black hole solutions presents a new approach to understand the Gauss-Bonnet gravity in low dimensions. In this paper, we test the Gauss-Bonnet gravity by studying the phase transition and…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Shao-Wen Wei , Yu-Xiao Liu

It is well-known that black hole can be endowed with topological charge coming as a result of phase transition(s) in the early universe. It has also recently been revealed that such object might exist in one of the modified theory of…

General Relativity and Quantum Cosmology · Physics 2021-12-17 A. M. Kusuma , B. N. Jayawiguna , H. S. Ramadhan

We study Einstein-Gauss-Bonnet gravity coupled to a bumblebee field which leads to a spontaneous Lorentz symmetry breaking in the gravitational sector. We obtain an exact black hole solution and a cosmological solution in four dimensional…

General Relativity and Quantum Cosmology · Physics 2022-02-03 Chikun Ding , Xiongwen Chen , Xiangyun Fu

New five-dimensional charged AdS black hole solutions are found in Einstein-Gauss-Bonnet gravity and the nonlinear electrodynamics. These solutions include regular black holes as well as extremal black holes. The first law of the black hole…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Seungjoon Hyun , Cao H. Nam

We observe a superfluid $\lambda$ transition in the $P-V$ criticality of charged AdS black holes, within a holographic extended thermodynamics that considers the variation of Newton's constant $G$. We calculate the critical exponents and…

High Energy Physics - Theory · Physics 2023-08-30 Ning-Chen Bai , Lei Li , Jun Tao

With the help of the parametric solution of the Maxwell equal area law for the Gauss-Bonnet AdS black hole in five dimensions, we find the second analytical solution to the first order phase transition. We analyze the asymptotic behaviors…

High Energy Physics - Theory · Physics 2018-11-07 Yan-Gang Miao , Zhen-Ming Xu

It is well-known that there exists a Hawking-Page phase transition between a spherical AdS black hole and a thermal AdS space. The phase transition does not happen between a Ricci flat AdS black hole whose horizon is a Ricci flat space and…

High Energy Physics - Theory · Physics 2008-11-26 Rong-Gen Cai , Sang Pyo Kim , Bin Wang

By treating the cosmological constant as a thermodynamic pressure, we investigate the thermodynamic behaviors of Born-Infeld AdS black hole in 4D Einstein-Gauss-Bonnet (EGB) gravity. The result shows that the Van der Waals like small/large…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Chao-Ming Zhang , De-Cheng Zou , Ming Zhang

We study the thermodynamic properties of a black hole and the Hawking-Page phase transition in the asymptotically anti--de Sitter spacetime in the dilatonic Einstein-Gauss-Bonnet theory of gravitation. We show how the higher-order curvature…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Sunly Khimphun , Bum-Hoon Lee , Wonwoo Lee

Employing the thermodynamic geometry approach, we explore phase transition of four dimensional spinning black holes in an anti-de Sitter (AdS) spaces and found the following novel results. (i) Contrary to the charged AdS black hole,…

High Energy Physics - Theory · Physics 2021-12-02 Amin Dehyadegari , Ahmad Sheykhi

We present a comprehensive analysis of the thermodynamic and optical properties of the Bumblebee Kerr-Newman-Anti-de Sitter (AdS) black hole, a rotating and charged configuration arising in Lorentz symmetry-violating (LSV) gravity. The…

General Relativity and Quantum Cosmology · Physics 2025-12-23 H. Hassanabadi , A. Guvendi , F. Kafikang , T. Sathiyaraj , S. Zare

In this work, we revisit a toy model proposed by Camanho {\it et.al.} [JHEP 10 (2015) 179] and extensively study the possible existence of gravitational phase transition from AdS to dS geometries by adding the Maxwell field as an impurity…

General Relativity and Quantum Cosmology · Physics 2020-09-09 Daris Samart , Phongpichit Channuie

In this work, we investigate thermodynamic properties and Hawking-Page phase transition of a black hole in the Schwarzschil-Anti-de Sitter-Beltrami (SAdSB) spacetime. We discuss the Beltrami or inertial coordinates of the Anti-de…

General Relativity and Quantum Cosmology · Physics 2024-05-21 T. Angsachon , K. Ruenearom

In this paper, we study the thermodynamics of Schwarzschild-anti-de Sitter black holes within the framework of non-commutative geometry. By solving the Einstein's equations, we derive the corrected Schwarzschild-AdS black hole with…

General Relativity and Quantum Cosmology · Physics 2025-04-14 Rui-Bo Wang , Shi-Jie Ma , Lei You , Jian-Bo Deng , Xian-Ru Hu

The phase transition of a RN-AdS black hole is studied in details using Ehrenfest's equations. There is no discontinuity in entropy which signals a lack of any first order phase transition. We then show that although Ehrenfest's first…

General Relativity and Quantum Cosmology · Physics 2012-02-10 Rabin Banerjee , Sumit Ghosh , Dibakar Roychowdhury

Comparing with an ordinary thermodynamic system, we investigate the possible microscopic structure of a charged anti-de Sitter black hole completely from the thermodynamic viewpoint. The number density of the black hole molecules is…

General Relativity and Quantum Cosmology · Physics 2015-09-18 Shao-Wen Wei , Yu-Xiao Liu

We investigate the Born-Infeld-anti-de Sitter black hole (BIAdS) solutions in the four dimensions, which is a nonlinear generalization of the Reissner-Norstr\"om-AdS black hole (RNAdS). We analyze all thermodynamic quantities of the BIAdS…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park

With the non-local observables such as two point correlation function and holographic entanglement entropy, we probe the phase structure of the Born-Infeld-anti-de Sitter black holes. We find for the case $bQ>0.5$, the phase structure is…

High Energy Physics - Theory · Physics 2017-02-01 Xiao-Xiong Zeng , Xian-Ming Liu , Li-Fang Li

This study probes spacetime solutions within Einstein-Bumblebee gravity, a modified gravitational framework incorporating spontaneous Lorentz symmetry violation through a vector field mechanism. By introducing a cosmological constant into…

General Relativity and Quantum Cosmology · Physics 2025-08-04 Reggie C. Pantig , Shubham Kala , Ali Övgün , Nikko John Leo S. Lobos

We study the phase transition of charged Gauss-Bonnet-de Sitter (GB-dS) black hole. For black holes in de Sitter spacetime, there is not only black hole horizon, but also the cosmological horizon. The thermodynamic quantities on the both…

General Relativity and Quantum Cosmology · Physics 2014-10-23 Meng-Sen Ma , Li-Chun Zhang , Hui-Hua Zhao , Ren Zhao