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In this paper we study the first law of thermodynamics for the (2+1) dimensional charged BTZ black hole considering a pair of thermodinamical systems constructed with the two horizons of this solution. We show that these two systems are…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Alexis Larranaga

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

In this paper, we have extended the previous study of the thermodynamics and phase transition of the Schwarzschild black hole in the rainbow gravity to the Schwarzschild-AdS black hole where metric depends on the energy of a probe. Making…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Yong-Wan Kim , Seung Kook Kim , Young-Jai Park

We consider the transition rate of a freely falling Unruh-DeWitt detector, coupled linearly to a massless scalar quantum field prepared in the Hartle-Hawking-Israel state, as a probe of the interior of a black hole. Specifically, we…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Massimiliano Spadafora , Manar Naeem , María R. Preciado-Rivas , Robert B. Mann , Jorma Louko

In this paper, we systematically study three classes of three-dimensional Ba\~nados-Teitelboim-Zanelli (BTZ) black holes based on different gravitational frameworks and matter field structures: the Einstein-Maxwell BTZ, the F(R)-Maxwell…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Yu-Die Wan , Peng Zhao , Meng-Yao Zhang , Zheng-Wen Long

The Kerr-Bertotti-Robinson (Kerr-BR) black hole, a theoretical model of a rotating black hole immersed in a uniform magnetic field, has been proposed recently by Podolsky and Ovcharenko. This study investigates the optical characteristics…

General Relativity and Quantum Cosmology · Physics 2025-08-11 Xiao-Xiong Zeng , Chen-Yu Yang , Hao Yu

Motivated by UV completion of general relativity with a modification of a geometry at high energy scale, it is expected to have an energy dependent geometry. In this paper, we introduce charged black hole solutions with power Maxwell…

General Relativity and Quantum Cosmology · Physics 2016-09-19 S. H. Hendi , B. Eslam Panah , S. Panahiyan , M. Momennia

The regular black hole solution arising as a spherically symmetric vacuum solution of Born-Infeld gravity possesses an asymptotic interior structure which is very well described by a four dimensional generalization of the non-rotating BTZ…

High Energy Physics - Theory · Physics 2020-08-14 Christian G. Boehmer , Franco Fiorini

We solve semiclassical Einstein equations in two dimensions with a massive source and we find a static, thermodynamically stable, quantum black hole solution in the Hartle-Hawking vacuum state. We then study the black hole geometry…

High Energy Physics - Theory · Physics 2009-11-11 Cristiano Germani , Giovanni Paolo Procopio

The connection between black hole thermodynamics and chemistry is extended to the lower-dimensional regime by considering the rotating and charged BTZ metric in the $(2+1)$-D and a $(1+1)$-D limits of Einstein gravity. The Smarr relation is…

General Relativity and Quantum Cosmology · Physics 2016-01-26 Antonia M. Frassino , Robert B. Mann , Jonas R. Mureika

Recently, Rajagapol et al presented an asymptotically AdS black hole metric whose thermodynamics qualitatively mimics the behavior of the Van der Waals fluid by treating the cosmological constant as a thermodynamic pressure. In some studies…

General Relativity and Quantum Cosmology · Physics 2024-04-12 R. Oubagha , B. Hamil , M. Merad , B. C. Lütfüoğlu

It has been suggested in the literature that, given a black hole spacetime, a relativistic membrane can provide an effective description of the horizon dynamics. In this paper, we explore such a framework in the context of a 2+1-dimensional…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. J. M. Medved

This paper investigates the optical and dynamical properties of a static spherically symmetric black hole in the presence of a Kalb--Ramond (KR) field coupled to perfect fluid dark matter (PFDM). We analyze the effects of the…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Qi-Qi Liang , Zi-Qiang Cai , Dong Liu , Zheng-Wen Long

We derive novel black hole solutions in a modified gravity theory, namely the Hu-Sawicki model of $f(R)$ gravity. After obtaining the black hole solution, we study the horizon radius of the black hole from the metric and then analyse the…

General Relativity and Quantum Cosmology · Physics 2024-10-04 Ronit Karmakar , Umananda Dev Goswami

Using the general parametrization of spherically symmetric and asymptotically flat black holes in arbitrary metric theories of gravity and implying that: a) the post-Newtonian constraints are taken into account and b) basic astrophysically…

General Relativity and Quantum Cosmology · Physics 2023-08-10 R. A. Konoplya , A. Zhidenko

We show that the temperature and entropy of a BTZ black hole are invariant under T-duality to next to leading order in $M_\star^{-2}$, $M_\star$ being the scale suppressing higher-curvature/derivative terms in the Lagrangian. We work in the…

High Energy Physics - Theory · Physics 2018-08-01 Jose D. Edelstein , Konstantinos Sfetsos , J. Anibal Sierra-Garcia , Alejandro Vilar Lopez

Regarding a special class of pure F(R) gravity in three dimensions, we obtain, analytically, Lifshitz-like black hole solutions. We check the geometrical properties of the solutions which behave such as charged BTZ black holes in special…

General Relativity and Quantum Cosmology · Physics 2020-05-27 S. H. Hendi , R. Ramezani-Arani , E. Rahimi

The BTZ black hole is geometrically finite. This means that its three dimensional hyperbolic structure as encoded in its metric is in 1-1 correspondence with the Teichmuller space of its boundary, which is a two torus. The equivalence of…

High Energy Physics - Theory · Physics 2009-11-11 Kumar S. Gupta , Siddhartha Sen

We develop an effective metric description of 2+1 dimensional black holes describing deviations from the classical Ba\~nados-Teitelboim-Zanelli (BTZ) black hole. The latter is a classical 2+1 dimensional rotating black hole with constant…

General Relativity and Quantum Cosmology · Physics 2024-12-23 Stefan Hohenegger , Mikolaj Myszkowski , Mattia Damia Paciarini , Francesco Sannino

This paper aims to explore the quasinormal modes (QNMs) and effective potential profiles of massless and rotating BTZ black holes within the frameworks of $f(\mathcal{R})$ and Ricci-Inverse ($\mathcal{RI}$) modified gravity theories, which,…

General Relativity and Quantum Cosmology · Physics 2025-04-11 Faizuddin Ahmed , Ahmad Al-Badawi , İzzet Sakallı , Abdelmalek Bouzenadad
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