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The Thermo Field Dynamics (TFD) formalism is used to investigate the regular black holes at finite temperature. Using the Teleparalelism Equivalent to General Relativity (TEGR) the gravitational Stefan-Boltzmann law and the gravitational…

High Energy Physics - Theory · Physics 2020-02-11 S. C. Ulhoa , E. P. Spaniol , R. Gomes , A. F. Santos , A. E. Santana

We discuss the connection between different entropies introduced for black hole. It is demonstrated on the two-dimensional example that the (quantum) thermodynamical entropy of a hole coincides (including UV-finite terms) with its…

High Energy Physics - Theory · Physics 2016-08-24 Sergey Solodukhin

Electrically charged solutions for gravity with a conformally coupled scalar field are found in four dimensions in the presence of a cosmological constant. If a quartic self-interaction term for the scalar field is considered, there is a…

High Energy Physics - Theory · Physics 2008-11-26 Cristian Martinez , Juan Pablo Staforelli , Ricardo Troncoso

In this work we construct several black hole metrics which are consistent with the generalized uncertainty principle logarithmic correction to the Bekenstein-Hawking entropy formula. After preserving the event horizon at the usual position,…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Ernesto Contreras , Fabián D. Villalba , Pedro Bargueño

We present a new class of asymptotically flat charge static solutions in third order Lovelock gravity. These solutions present black hole solutions with two inner and outer event horizons, extreme black holes or naked singularities provided…

High Energy Physics - Theory · Physics 2009-11-11 M. H. Dehghani , M. Shamirzaie

We propose a general formula for calculating the entanglement entropy in theories dual to higher derivative gravity where the Lagrangian is a contraction of Riemann tensors. Our formula consists of Wald's formula for the black hole entropy,…

High Energy Physics - Theory · Physics 2014-01-16 Xi Dong

The Euclidean black hole has topology $\Re^2 \times {\cal S}^{d-2}$. It is shown that -in Einstein's theory- the deficit angle of a cusp at any point in $\Re^2$ and the area of the ${\cal S}^{d-2}$ are canonical conjugates. The black hole…

General Relativity and Quantum Cosmology · Physics 2009-01-23 Máximo Bañados , Claudio Teitelboim , Jorge Zanelli

We use the Kerr/CFT correspondence to calculate the entropy for all known extremal stationary and axisymmetric black holes. This is done with the help of two ansatzs that are general enough to cover all such known solutions. Considering…

High Energy Physics - Theory · Physics 2010-04-30 Jianwei Mei

We investigate $4D$ Einstein-Gauss-bonnet gravity coupled to exponential electrodynamics in AdS background and found a static, spherically symmetric exact black hole solution. The horizon structure of black hole is discussed. Treating the…

General Relativity and Quantum Cosmology · Physics 2023-02-14 Prosenjit Paul

Einstein-bumblebee gravity is one of the simplest vector-tensor theories that realizes spontaneous Lorentz symmetry breaking. In this work, we first construct an exact dyonic Reissner-Nordstr\"om-like black hole solution in four dimensions,…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Shoulong Li , Liang Liang , Liang Ma

We consider a self-interacting, massive scalar field (non)minimally coupled to new massive gravity in three dimensions. For this model, we first derive a family of black hole solutions depending on a unique integration constant and…

High Energy Physics - Theory · Physics 2014-06-11 Francisco Correa , Mokhtar Hassaine , Julio Oliva

We present a formalism for studying the thermodynamics of black holes in dilaton gravity. The thermodynamic variables are defined on a quasilocal surface surrounding the black hole system and are obtained from a general class of Lagrangians…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. D. E. Creighton , R. B. Mann

Wald's entropy formula allows one to find the entropy of black holes' event horizon within any diffeomorphism invariant theory of gravity. When applied to general relativity, the formula yields the Bekenstein-Hawking result but, for any…

General Relativity and Quantum Cosmology · Physics 2015-08-24 Fayçal Hammad

The relationship between thermodynamics and the Lloyd bound on the holographic complexity for a black hole has been of interest. We consider $D$ dimensional anti-de Sitter black holes with hyperbolic geometry as well as black holes with…

High Energy Physics - Theory · Physics 2022-08-03 H. Babaei-Aghbolagh , Hosein Mohammadzadeh , Davood Mahdavian Yekta , Komeil Babaei Velni

We propose a new formula for the entropy of a dynamical black hole$-$valid to leading order for perturbations off of a stationary black hole background$-$in an arbitrary classical diffeomorphism covariant Lagrangian theory of gravity in $n$…

High Energy Physics - Theory · Physics 2024-04-02 Stefan Hollands , Robert M. Wald , Victor G. Zhang

In this work, we investigated the thermodynamics of Schwarzschild-like bumblebee black hole using Iyer-Wald covariant phase space formalism. With a non zero vacuum expectation value, the bumblebee field is responsible for spontaneously…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Yu-Sen An

Two techniques for computing black hole entropy in generally covariant gravity theories including arbitrary higher derivative interactions are studied. The techniques are Wald's Noether charge approach introduced recently, and a field…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Ted Jacobson , Gungwon Kang , Robert C. Myers

This paper studies the thermodynamics and Ruppeiner geometry of D-dimensional RN black holes. We analyze the thermodynamic curvature scalar $R$ in various thermodynamic ensembles. It is found that in an ensemble of fixed charge (canonical…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Wen-Xiang Chen

We obtain a black hole solution of minimal massive gravity theory with Maxwell and electromagnetic Chern-Simons terms using the first order formalism. This black hole solution can be translated into the spacelike warped $AdS_3$ black hole…

High Energy Physics - Theory · Physics 2019-01-04 Soonkeon Nam , Jong-Dae Park

We consider the entropy of higher spin black holes in 2+1 dimensions using the conical singularity approach. By introducing a conical singularity along a non contractible cycle and carefully evaluating its contribution to the Chern Simons…

High Energy Physics - Theory · Physics 2015-06-12 Per Kraus , Tomonori Ugajin