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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

We revisit the classical thermodynamic stability of the standard black hole solutions by implementing the intrinsic necessary and sufficient conditions for stable global and local thermodynamic equilibrium. The criteria for such equilibria…

General Relativity and Quantum Cosmology · Physics 2024-12-30 V. Avramov , H. Dimov , M. Radomirov , R. C. Rashkov , T. Vetsov

Even though, classically, a black holes is gravitational object, it can be treated as a thermodynamic object when quantum effect is taken into account. It is found that by using Gibbs-Boltzmann entropy, thermodynamic system associated…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Thanawat Anusonthi , Pitayuth Wongjun , Ratchaphat Nakarachinda

Motivated by high interest in Lorentz invariant massive gravity models known as dRGT massive gravity, we present an exact phantom black hole solution in this theory of gravity and discuss the thermodynamic structure of the black hole in the…

General Relativity and Quantum Cosmology · Physics 2024-02-15 Kh. Jafarzade , B. Eslam Panah , M. E. Rodrigues

The discovery in the early 1970s that black holes radiate as black bodies has radically affected our understanding of general relativity, and offered us some early hints about the nature of quantum gravity. In this chapter I will review the…

General Relativity and Quantum Cosmology · Physics 2015-08-27 S. Carlip

Thermodynamic formalism for rotating black holes, characterized by noncommutative and quantum corrections, is constructed. From a fundamental thermodynamic relation, equations of state and thermodynamic response functions are explicitly…

General Relativity and Quantum Cosmology · Physics 2016-11-28 L. F. Escamilla-Herrera , E. Mena-Barboza , J. Torres-Arenas

We do a detailed study of the thermodynamics of black holes in Rainbow gravity in the framework of the Kiselev metric, taking into account different cosmic fluids which can mimic several kinds of dark energy scenarios. A discussion related…

General Relativity and Quantum Cosmology · Physics 2022-02-09 P. H. Morais , G. V. Silva , J. P. Morais Graça , V. B. Bezerra

Regular black holes have become a popular alternative to the singular mathematical black holes predicted by general relativity as they circumvent mathematical pathologies associated with the singularity while preserving crucial black hole…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Ioannis Soranidis

This study investigates the thermodynamics of topological black hole solutions in $R^{2}$ gravity, incorporating the effects of small statistical fluctuations up to first-order corrections. We precisely calculate entropy, internal energy,…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Sudhaker Upadhyay , Jyotish Kumar , Dharm Veer Singh , Yerlan Myrzakulov , Kairat Myrzakulov , Abhishek Ashish

In this paper, we discuss the effect of small statistical thermal fluctuations around the equilibrium on the thermodynamics of small non-rotating BTZ black hole. This is done by evaluating the leading-order corrections to the…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Nadeem-ul-islam , Prince A. Ganai , Sudhaker Upadhyay

We investigate the effects of the Einstein cubic gravity (ECG) on regular black hole solutions driven by nonlinear electrodynamics (NLE) sources. The ECG tends to form a naked singularity at the origin for a high ECG coupling constant.…

General Relativity and Quantum Cosmology · Physics 2023-05-30 L. A. Lessa , J. E. G. Silva

In this paper, we study the thermodynamical properties of the (2+1) dimensional black hole with a non-linear electrodynamics and with a negative cosmological constant, using the Generalized Uncertainty Principle (GUP). This approach shows…

General Relativity and Quantum Cosmology · Physics 2010-12-10 Alexis Larranaga , Hector J. Hortua

The phenomenon of black hole thermodynamics raises several deep issues which any proper theory of quantum gravity must confront: to what extent does the inclusion of the back-reaction alter the thermal character of the radiation, how can…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Per Kraus

In this paper, we study the polymer black hole solution surrounded by a quintessence field. The influence of quintessence on the polymer black hole is investigated through its thermodynamic properties, such as the Hawking temperature,…

General Relativity and Quantum Cosmology · Physics 2025-07-11 M. C. Araújo , J. G. Lima , C. R. Muniz , J. Furtado

We present an investigation on thermodynamics of two different types of black holes viz. Kiselev black hole (asymptotically flat) and Taub-NUT (non-asymptotically flat) black hole. We compute the thermodynamic variables like black hole's…

General Relativity and Quantum Cosmology · Physics 2019-04-01 Amritendu Halder , Ritabrata Biswas

A promising theory in modifying general relativity by violating the ordinary energy-momentum conservation law in curved spacetime is the Rastall theory of gravity. In this theory, geometry and matter fields are coupled to each other in a…

General Relativity and Quantum Cosmology · Physics 2018-03-12 Iarley P. Lobo , H. Moradpour , J. P. Morais Graça , I. G. Salako

We review (anti)evaporation phenomena within the context of quantum gravity and extended theories of gravity. The (anti)evaporation effect is an instability of the black hole horizon discovered in many different scenarios: quantum…

General Relativity and Quantum Cosmology · Physics 2017-10-24 Andrea Addazi , Antonino Marciano

In this paper, we would like to obtain quantum gravity effects by using Ho\v{r}ava-Lifshitz black hole. We consider logarithmic corrected thermodynamics quantities and investigate the effects of logarithmic correction term. Logarithmic…

High Energy Physics - Theory · Physics 2018-03-08 B. Pourhassan , S. Upadhyay , H. Saadat , H. Farahani

We study the thermodynamics of black holes in the framework of non-commutative geometry, where spacetime fuzziness is modelled by smeared Lorentzian distributions. Corrected black hole solutions with this quantum fuzziness are obtained, and…

High Energy Physics - Theory · Physics 2025-09-30 Ankit Anand , Anshul Mishra , Aditya Singh

In this paper, we consider three types (static, static charged and rotating charged) of black holes in f(R) gravity. We study the thermodynamical behavior, stability conditions and phase transition of these black holes. It will be shown…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Saheb Soroushfar , Reza Saffari , Negin Kamvar