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We study the corrected entropy due to thermal fluctuation and their effect on the thermodynamics of a conformally dressed black hole in three dimensions. We find that the thermal fluctuation affects the entropy significantly for small black…

General Relativity and Quantum Cosmology · Physics 2022-10-14 Himanshu Kumar Sudhanshu , Sudhaker Upadhyay , Dharm Veer Singh , Sunil Kumar

The aim of this paper is to study the thermodynamics variables of non-rotating BTZ black hole in 2+1 dimensional using two models; one of them is the quantum hydrogen atom model, and the other is the Collapsed Shell Model. We calculate the…

High Energy Physics - Theory · Physics 2018-04-09 N. A. Hussein , D. A. Eisa , T. A. S. Ibrahim

In the framework of thermal quantization of radial geodesics completely confined behind the horizons we calculate the entropy of BTZ black hole in agreement with the Bekenstein--Hawking relation. Particles in the BTZ black hole occupy the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. V. Kiselev

Spatially varying near-horizon fluctuations of temperature of a Schwarzschild Black Hole is considered within the Euclidean Gravity approach. We present evidence that suggests that such fluctuations in temperature are closely related with…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Anamika Avinash Pathak , Swastik Bhattacharya

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

The heat kernel on the symmetric space of positive definite Hermitian matrices is used to endow the spaces of Bergman metrics of degree k on a Riemann surface M with a family of probability measures depending on a choice of the background…

Probability · Mathematics 2016-08-10 Semyon Klevtsov , Steve Zelditch

The entropy of a black hole can differ from a quarter of the area of the horizon because of quantum corrections. The correction is related to the contribution to the Euclidean functional integral from quantum fluctuations but is not simply…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Ghosh , P. Mitra

We consider a charged BTZ black hole in asymptotically AdS space-time of massive gravity to study the effect of the thermal fluctuations on the black hole thermodynamics. We consider the Einstein-Born-Infeld solution and investigate…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Behnam Pourhassan , Seyed Hossein Hendi , Sudhaker Upadhyay , Izzet Sakalli , Emmanuel N. Saridakis

The inclusion of the quantum fluctuations of the metric in the geometric action is a promising avenue for the understanding of the quantum properties of gravity. In this approach the metric is decomposed in the sum of a classical and of a…

General Relativity and Quantum Cosmology · Physics 2021-04-19 Jin-Zhao Yang , Shahab Shahidi , Tiberiu Harko , Shi-Dong Liang

Bekenstein has put forward the idea that, in a quantum theory of gravity, a black hole should have a discrete energy spectrum with concomitant discrete line emission. The quantized black-hole radiation spectrum is expected to be very…

General Relativity and Quantum Cosmology · Physics 2015-06-09 Shahar Hod

We examine the thermodynamics of a regular charged black hole (RCB) added with corrections due to massive gravity and thermal fluctuations at quantum level. We then derive the expressions for all the relevant thermodynamic quantities such…

General Relativity and Quantum Cosmology · Physics 2022-07-05 Amruta Desai , Shubham Sharma , Prince A. Ganai

We relate the heat kernel and quasinormal mode methods of computing the 1-loop partition function of arbitrary spin fields on a rotating (Euclidean) BTZ background using the Selberg zeta function associated with $\mathbb{H}^{3}/\mathbb{Z}$,…

High Energy Physics - Theory · Physics 2020-12-02 Cynthia Keeler , Victoria L. Martin , Andrew Svesko

In this paper, we study the phase transition and the entropy spectrum of BTZ black hole obtained in a model of three-dimensional gravity with torsion. By calculating the heat capacity we find that the BTZ black hole we considered will…

General Relativity and Quantum Cosmology · Physics 2014-02-12 Meng-Sen Ma , Ren Zhao

We construct the thermodynamic geometry of $2+1$ dimensional normal (exotic) BTZ black hole regarding to the fluctuation of cosmological constant. We argue that while the thermodynamic geometry of black hole without fluctuation of…

General Relativity and Quantum Cosmology · Physics 2018-04-03 Hosein Mohammadzadeh , Maryam Rastkar , Morteza Nattagh Najafi

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

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

In this paper, tunneling of fermions from rotating BTZ black hole is investigated using modified dispersion relation (MDR) and Rarita-Schwinger equation. The effect of modified dispersion relation (MDR) on the tunneling of fermions rises…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Sapam Gayatri Devi , I. Ablu Meitei , T. Ibungochouba Singh , Aheibam Keshwarjit Singh , K. Yugindro Singh

In Vaidya-Bonner de Sitter Black hole space-time, the tunneling radiation characteristics of fermions and bosons are corrected by taking Lorentz symmetry breaking theory into account. The corresponding gamma matrices and ether-like field…

General Relativity and Quantum Cosmology · Physics 2021-07-08 Bei Sha , Zhi-E Liu

The relation between logarithmic corrections to the area law for black hole entropy, due to thermal fluctuations around an equilibrium canonical ensemble, and those originating from quantum spacetime fluctuations within a microcanonical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ashok Chatterjee , Parthasarathi Majumdar

In this paper, we investigate the second-order normal quantum fluctuation on the world-sheet of a probe string in the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole. These fluctuations is treated as the projection of Hawking radiation on the…

High Energy Physics - Theory · Physics 2025-04-08 Yu-Ting Zhou , Xiao-Mei Kuang