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Among the study of black hole thermodynamics, topology offers a novel approach and perspective for classifying black hole systems. In this work, we explore the thermodynamical topology of the quantum BTZ black hole by employing the concept…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Shan-Ping Wu , Shao-Wen Wei

Although all popular approaches to quantum gravity are able to recover the Bekenstein-Hawking entropy-area law in the thermodynamic limit, there are significant differences in their descriptions of the microstates and in the application of…

High Energy Physics - Theory · Physics 2010-02-19 Cenalo Vaz , L. C. R. Wijewardhana

In this paper, we study the thermodynamics and phase transition of a BTZ black hole in a finite space region, namely a cavity. By imposing a temperature-fixed boundary condition on the wall of the cavity and evaluating the Euclidean action,…

General Relativity and Quantum Cosmology · Physics 2022-08-25 Yuchen Huang , Jun Tao

Within the framework of extended black hole thermodynamics, where the cosmological constant acts as the thermodynamic pressure and its conjugate as the thermodynamic volume, we analyze the phase structure and thermodynamic geometry of the…

High Energy Physics - Theory · Physics 2025-01-22 Seyed Ali Hosseini Mansoori , Juan F. Pedraza , Morteza Rafiee

We present the thermodynamics of a charged and rotating BTZ black holes here. In particular, we derive expressions for various macroscopic thermal quantities such as entropy, Hawking temperature, Helmholtz free energy, internal energy,…

General Relativity and Quantum Cosmology · Physics 2022-02-01 Sudhaker Upadhyay , Nadeem-ul-islam , Prince A. Ganai

The thermodynamics of the BTZ black holes are revisited with variable Newton constant. A new pair of conjugated variables, the central charge $C$ and the chemical potential $\mu$, is introduced as thermodynamic variables. The first law of…

General Relativity and Quantum Cosmology · Physics 2022-08-26 Yan-Ying Bai , Xuan-Rui Chen , Zhen-Ming Xu , Bin Wu

Some thermodynamic properties of the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole are studied to get the effective dimension of its corresponding statistical model. For this purpose, we make use of the geometrical approach to the…

High Energy Physics - Theory · Physics 2009-10-31 Rong-Gen Cai , Jin-Ho Cho

We extend the thermodynamics of quantum BTZ black holes by treating the quantum backreaction strength parameter $\nu$ as a thermodynamic variable. We find various novel features. The critical point appears at $\nu_c=1$ and a first order…

High Energy Physics - Theory · Physics 2025-05-30 Hong-Ming Cui , Zhong-Ying Fan

This paper investigates phantom BTZ black holes within the high-curvature gravity theory framework, specifically using a special case of power-Maxwell theory, which functions as a nonlinear electrodynamics source called F(R)-conformally…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Behzad Eslam Panah , Bilel Hamil , Manuel E. Rodrigues

We explore the canonical thermodynamics of the non-rotating BTZ black hole within a finite cavity by incorporating quantum corrections using Barrow entropy. We derive analytic expressions for temperature, quasilocal energy, free energy, and…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Prince A Ganai , Nadeem Ul Islam , Nazir A Ganaie

We investigate the spacetime properties of BTZ black holes in the presence of the Maxwell field and Born-Infeld field and find rich properties in the spacetime structures when the model parameters are varied. Employing the Landau-Lifshitz…

High Energy Physics - Theory · Physics 2017-06-20 Zi-Yu Tang , Cheng-Yong Zhang , Mahdi Kord Zangeneh , Bin Wang , Joel Saavedra

We construct a kind of thermal potential and then put the black hole thermodynamic system in it. In this regard, some thermodynamic properties of the black hole are related to the geometric characteristics of the thermal potential. Driven…

General Relativity and Quantum Cosmology · Physics 2021-11-12 Zhen-Ming Xu

Black bounce black holes are modification of classical black hole solutions that regularize the singularity by using a bouncing parameter. In our work, we explored the thermodynamics of Reissner-Nordst\"orm black bounce black hole and…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Feba C Joy , R Tharanath

This study explores the thermodynamic and geometric properties of phantom BTZ black holes within a noncommutative spacetime framework, where noncommutativity is implemented through Lorentzian smearing of mass and charge distributions. The…

High Energy Physics - Theory · Physics 2026-02-11 B. Hamil , B. C. Lütfüoğlu

We propose that the thermodynamics and the kinetics of state switching for the asymptotically flat black hole enclosed by a cavity can be studied in terms of the free energy landscape formalism. The generalized free energy for the black…

General Relativity and Quantum Cosmology · Physics 2024-09-23 Ran Li , Jin Wang

Exploring quantum effects from black hole thermodynamics has always been a pivotal topic. In recent years, the free energy landscape and ensemble-averaged theory based on the Euclidean path integral approach have provided further…

High Energy Physics - Theory · Physics 2025-06-19 Yu-Qi Liu , Hao-Wei Yu , Peng Cheng

In this work, we shall analyze the effects of quantum fluctuations on the properties of a BTZ black hole, in a massive theory of gravity. We will analyze this for a charged BTZ black hole in asymptotically AdS and dS space-times. The…

General Relativity and Quantum Cosmology · Physics 2017-10-17 Behnam Pourhassan , Mir Faizal , Zaid Zaz , Anha Bhat

We show backreaction of quantum fields on black hole geometries can trigger new thermal phase transitions. Specifically, we study the phase behavior of the three-dimensional quantum-corrected static BTZ black hole, an exact solution to…

High Energy Physics - Theory · Physics 2024-06-18 Antonia M. Frassino , Juan F. Pedraza , Andrew Svesko , Manus R. Visser

Black holes exactly incorporating quantum matter backreaction effects, namely, quantum black holes, are notoriously difficult to construct, let alone study their horizon thermodynamics. Here, we derive the thermodynamics of…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Yuanfan Cao , Andrew Svesko

We suggest in this Letter that the Bekenstein-Hawking black hole entropy accounts for the degrees of freedom which are excited at low temperatures only and hence it leads to the negative specific heat. Taking into account the physical…

High Energy Physics - Theory · Physics 2009-10-19 Andrzej Z. Gorski , Pawel O. Mazur
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