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In this work, we present a convenient method to perform the topological analysis of black hole thermodynamics. Utilizing the spinodal curve, thermodynamic critical points of a black hole are endowed with a topological quantity, Brouwer…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Ning-Chen Bai , Lei Li , Jun Tao

It is well known that interpreting the cosmological constant as the pressure, the AdS black holes behave as the van der Waals thermodynamic system. In this case, like a phase transition from vapor to liquid in a usual van der Waals system,…

General Relativity and Quantum Cosmology · Physics 2017-05-24 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

We solve dynamical equations of motion to determine the conditions under which an over-dense region in the early universe will lead to collapse to a black hole, starting from horizon crossing of the over-dense region to the point of…

Astrophysics · Physics 2007-06-11 Joseph I. Kapusta , Todd Springer

Understanding the thermodynamic phase transition of black holes can provide a deep insight into the fundamental properties of black hole gravity to establish the theory of quantum gravity. We investigate the condition and latent heat of…

High Energy Physics - Theory · Physics 2022-09-13 Yun-Zhi Du , Huai-Fan Li , Fang Liu , Ren Zhao , Li-Chun Zhang

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…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Yang Qu , Jun Tao , Huan Yang

In this paper, We conducted an in-depth investigation into the thermodynamic topology of Einstein-Gauss-Bonnet black holes within the framework of Conformal Field Theory (CFT), considering the implications of non-extensive entropy…

General Relativity and Quantum Cosmology · Physics 2025-04-30 Mohammad Ali S. Afshar , Mohammad Reza Alipour , Saeed Noori Gashti , Jafar Sadeghi

Black hole (BH) quantization may be the key to unlocking a unifying theory of quantum gravity (QG). Surmounting evidence in the field of BH research continues to support a horizon (surface) area with a discrete and uniformly spaced…

General Physics · Physics 2014-07-18 C. Corda , S. H. Hendi , R. Katebi , N. O. Schmidt

In this paper, we have investigated phase transitions in arbitrary spacetime dimensions for Born-Infeld AdS black holes. The phase transition points are characterised from the divergence of heat capacity of the black hole. Two well…

High Energy Physics - Theory · Physics 2020-03-03 Neeraj Kumar , Sukanta Bhattacharyya , Sunandan Gangopadhyay

Large curvature perturbations generated during slow first-order phase transitions are a promising source of primordial black holes. However, recent analyses suggested that the mechanism is ruled out once the density contrast and the…

High Energy Physics - Phenomenology · Physics 2026-05-22 Wen-Yuan Ai , Ke-Pan Xie

We generalize Ehrenfest's equations to systems having two work terms, i.e. systems with three degrees of freedom. For black holes with two work terms we obtain nine equations instead of two to be satisfied at the critical point of a second…

General Relativity and Quantum Cosmology · Physics 2015-03-10 Mohammad Bagher Jahani Poshteh , Behrouz Mirza , Fatemeh Oboudiat

In this paper, we study the thermodynamics and geothermodynamics of spherical black hole solutions in dRGT massive gravity in a new extended phase space. Inspired by the work of Kastor et al. [1], by interpreting the graviton mass as a…

High Energy Physics - Theory · Physics 2019-05-01 M. Chabab , H. El Moumni , S. Iraoui , K. Masmar

We use the Legendre invariant formalism of geometrothermodynamics to investigate the geometric properties of the equilibrium space of a spherically symmetric phantom black hole with electric charge and dilaton. We find that at certain…

General Relativity and Quantum Cosmology · Physics 2016-08-24 H. Quevedo , M. N. Quevedo , A. Sanchez

The classification of critical points of charged topological black holes (TBHs) in anti-de Sitter spacetime (AdS) under the Power Maxwell Invariant (PMI)-massive gravity is accomplished within the framework of black hole chemistry (BHC).…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Meng-Yao Zhang , Hao Chen , Hassan Hassanabadi , Zheng-Wen Long , Hui Yang

In this paper, we study the topological properties of five-dimensional rotating charged black holes in different ensembles.The topological numbers for the black holes are gotten in the grand canonical and canonical ensembles, which are 1.…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Yucheng He , Changxiang Lei , Deyou Chen

Instead of scalar tensor gravity models which is applicable for description of cosmic inflation with unknown dark sector of matter/energy, at presentense there are presented different alternative scalar tensor vector gravities where…

General Relativity and Quantum Cosmology · Physics 2023-01-24 Hossein Ghaffarnejad , Elham Ghasemi Kordkheilee

We consider the D3-D7 model and use the spectral function of a probe fermion on D7 to analyze the first order phase transition from the black-hole embedding phase to another black-hole embedding phase in the presence of the finite density…

High Energy Physics - Theory · Physics 2024-08-08 Xian-Hui Ge , Shuta Ishigaki , Sang-Jin Sin , Taewon Yuk

We discuss the quantum mechanics and thermodynamics of the (2+1)-dimensional black hole, using both minisuperspace methods and exact results from Chern-Simons theory. In particular, we evaluate the first quantum correction to the black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-22 S. Carlip , C. Teitelboim

We investigate the phase transitions of black holes with conformal anomaly in canonical ensemble from different perspectives. Some interesting and novel phase transition phenomena have been discovered. Firstly, we discuss the behavior of…

High Energy Physics - Theory · Physics 2014-04-08 Jie-Xiong Mo , Wen-Biao Liu

Motivated by the energy representation of Riemannian metric, in this paper we study different approaches toward the geometrical concept of black hole thermodynamics. We investigate thermodynamical Ricci scalar of Weinhold, Ruppeiner and…

General Relativity and Quantum Cosmology · Physics 2015-10-30 S. H. Hendi , S. Panahiyan , B. Elam Panah , M. Momennia

We revisit scalarized black holes in Einstein-scalar-Gauss-Bonnet gravity and analyze the thermodynamic phase transition between the Schwarzschild solution of general relativity and scalarized black holes. Restricting to spherically…

General Relativity and Quantum Cosmology · Physics 2026-03-26 Carlos Herdeiro , Hyat Huang , Jutta Kunz , Meng-Yun Lai , Eugen Radu , De-Cheng Zou