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Black hole thermodynamics has recently witnessed three distinct classification schemes: based on local geometric properties of the temperature function, global topological invariants, and Riemann surface foliations in the complex plane. We…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Shi-Hao Zhang , Shao-Wen Wei , Jing-Fei Zhang , Xin Zhang

Recent explorations of topological aspects in black hole thermodynamics have achieved unprecedented progress. By utilizing topological numbers, different black hole systems can be categorized into distinct universality classes. This…

General Relativity and Quantum Cosmology · Physics 2026-05-04 Shao-Wen Wei , Yu-Xiao Liu

First-order phase transitions of black holes have been extensively studied within thermodynamic frameworks, yet the corresponding evolution of spacetime geometric properties remains unclear. This paper establishes a purely differential…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Shi-Hao Zhang , Zi-Qiang Zhao , Zi-Yuan Li , Jing-Fei Zhang , Xin Zhang

We consider a generic first-order phase transition at finite temperature and investigate to what extent a population of primordial black holes, of variable masses, can affect the rate of bubble nucleation. Using a thin-wall approximation,…

High Energy Physics - Theory · Physics 2020-12-24 Basem Kamal El-Menoufi , Stephan J. Huber , Jonathan P. Manuel

Considering a nonlinear charged black hole as a thermodynamics system, we study the geometric description of its phase transitions. Using the formalism of geometrothermodynamics we show that the geometry of the space of thermodynamic…

Mathematical Physics · Physics 2014-04-28 Gustavo Arciniega , Alberto Sánchez

First-order phase transitions produce gravitational waves and primordial black holes. They always occur in field theories where symmetries are radiatively broken and masses are correspondingly generated. These theories predict a period of…

High Energy Physics - Phenomenology · Physics 2026-05-19 Alberto Salvio

We investigate the universality of some features for the extremal phase transition of black holes and unify all the approaches which have been applied in different spacetimes. Unlike the other existing approaches where the information of…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Krishnakanta Bhattacharya , Sumit Dey , Bibhas Ranjan Majhi , Saurav Samanta

In this paper, we study the properties of the (2+1)-dimensional black holes from the viewpoint of geometrothermodynamics. We show that the Legendre invariant metric of the (2+1)-dimensional black holes can produce correctly the behavior of…

General Relativity and Quantum Cosmology · Physics 2015-06-05 YiWen Han , Gang Chen

First-order phase transitions, which take place when the symmetries are predominantly broken (and masses are then generated) through radiative corrections, produce observable gravitational waves and primordial black holes. We provide a…

High Energy Physics - Phenomenology · Physics 2024-03-25 Alberto Salvio

We develop an analogy between fluids and black holes to study phase transitions in the latter. The entropy-temperature graph shows the onset of a phase transition without any latent heat. The nature of this continuous (higher order) phase…

General Relativity and Quantum Cosmology · Physics 2011-01-13 Rabin Banerjee , Sujoy Kumar Modak , Saurav Samanta

In this work, we investigate the thermodynamic properties of black holes (BHs) that have non-trivial topological features in their phase diagrams. We consider three different models of BHs: (1) a class of BHs in dRGT massive gravity, which…

High Energy Physics - Theory · Physics 2024-09-10 Aqsa Mehmood , M. Umair Shahzad

In this work, we develop a universal picture from topology in the thermodynamic parameters space to describe first order phase transitions of black holes. By employing an off-shell internal energy, we find two types of topological defects.…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Zhong-Ying Fan

Dyonic black holes with quasitopological electromagnetism exhibit an intriguing phase diagram with two separated first-order coexistence curves. In this paper, we aim to uncover its influence on the black hole thermodynamical topology. At…

High Energy Physics - Theory · Physics 2024-05-14 Zi-Qing Chen , Shao-Wen Wei

A critical point is an important structure in the phase diagram of a thermodynamic system. In this work, we introduce topology to the study of the black hole thermodynamics for the first time by following Duan's topological current…

General Relativity and Quantum Cosmology · Physics 2022-05-11 Shao-Wen Wei , Yu-Xiao Liu

We study the holographic realization of optimized correlation measures -- measures of quantum correlation that generalize elementary entropic formulas -- in two-dimensional thermal states dual to spacetimes with a black hole horizon. We…

High Energy Physics - Theory · Physics 2022-05-18 Sristy Agrawal , Oliver DeWolfe , Joshua Levin , Graeme Smith

Using geomterothermodynamics (GTD), we investigate the phase transition of black hole in a metric independent way. We show that for any black hole, curvature scalar (of equilibrium state space geometry) is singular at the point where…

General Relativity and Quantum Cosmology · Physics 2017-02-03 Rabin Banerjee , Bibhas Ranjan Majhi , Saurav Samanta

A new mechanism of black hole formation in a first order phase transition is proposed. In vacuum bubble collisions the interaction of bubble walls leads to the formation of nontrivial vacuum configuration. The consequent collapse of this…

High Energy Physics - Phenomenology · Physics 2011-04-15 M. Yu. Khlopov , R. V. Konoplich , S. G. Rubin , A. S. Sakharov

Under the framework of thermodynamics, the phase transition of the black hole is a general issue in general relativity. In this work, the phase transition of charged black holes is discussed carefully. The metric tensor of thermodynamics is…

General Physics · Physics 2024-05-09 Bobin Li

In this paper, we take into account black hole solutions of Brans-Dicke-Maxwell theory and investigate their stability and phase transition points. We apply the concept of geometry in thermodynamics to obtain phase transition points and…

General Relativity and Quantum Cosmology · Physics 2016-08-24 S. H. Hendi , S. Panahiyan , B. Eslam Panah , Z. Armanfard

The present paper is aimed to study thermodynamical properties of phase transition for regular charged black holes. In this context, we have considered two different forms of black hole metrics supplemented with exponential and logistic…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Wajiha Javed , Z. Yousaf , Zunaira Akhtar
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