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We consider a higher derivative gravity theory in four dimensions with a negative cosmological constant and show that vacuum solutions of both Lifshitz type and Schr\"{o}dinger type with arbitrary dynamical exponent z exist in this system.…

High Energy Physics - Theory · Physics 2010-04-30 Rong-Gen Cai , Yan Liu , Ya-Wen Sun

A new four-dimensional black hole solution of Einstein-Born-Infeld-Yang-Mills theory is constructed, several degenerated forms of the black hole solution are presented. The related thermodynamical quantities are calculated, with which the…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Kun Meng , Da-Bao Yang , Zhan-Ning Hu

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

It is observed that the three-dimensional BTZ black hole is a supersymmetric solution of the low-energy field equations of heterotic string theory compactified on an Einstein space. The solution involves a non-zero dilaton and NS-NS…

High Energy Physics - Theory · Physics 2009-10-31 Danny Birmingham , Ivo Sachs , Siddhartha Sen

It is shown that 2+1 dimensional anti-de Sitter spacetimes are Lorentz-flat. This means, in particular, that any simply-connected patch of the BTZ black hole solution can be endowed with a Lorentz connection that is locally pure gauge. The…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Pedro D. Alvarez , Pablo Pais , Eduardo Rodriguez , Patricio Salgado-Rebolledo , Jorge Zanelli

We obtain static and rotating electrically charged black holes of a Einstein-Maxwell-Dilaton theory of the Brans-Dicke type in (2+1)-dimensions. The theory is specified by three fields, the dilaton, the graviton and the electromagnetic…

High Energy Physics - Theory · Physics 2009-11-07 Oscar J. C. Dias , Jose' P. S. Lemos

In this paper, we study mechanics and thermodynamics of distorted, five-dimensional, electrically charged (non-extremal) black holes on the example of a static and "axisymmetric" black hole distorted by external, electrically neutral…

High Energy Physics - Theory · Physics 2015-11-06 Shohreh Abdolrahimi

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

We evaluate the energy distribution associated with the (2+1)-dimensional rotating BTZ black hole. The energy-momentum complexes of Landau-Lifshitz and Weinberg are employed for this computation. Both prescriptions give exactly the same…

High Energy Physics - Theory · Physics 2009-11-10 Elias C. Vagenas

Inspired by the BTZ formalism, we discuss the Maxwell-$f(T)$ gravity in (2+1)-dimensions. The main task is to derive exact solutions for a special form of $f(T)=T+\epsilon T^2$, with $T$ being the torsion scalar of…

General Relativity and Quantum Cosmology · Physics 2018-05-23 G. G. L. Nashed , S. Capozziello

We study static (electrically)-charged solutions of Eddington-inspired Born-Infeld (EiBI) theory of gravity in general $D$-dimensional spacetime. We consider both linear (Maxwell) as well as nonlinear electrodynamics for the matter fields.…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Byon N. Jayawiguna , Handhika S. Ramadhan

Using a solution generating technique based on the symmetries of the dimensionally reduced Lagrangian we derive an exact solution of the Einstein-Maxwell-Dilaton field equations in five dimensions describing a system of two general…

High Energy Physics - Theory · Physics 2011-05-05 Cristian Stelea , Kristin Schleich , Donald Witt

In the recent paper [Phys. Rev. Lett. 129, 191101 (2022)], the black holes were viewed as topological thermodynamic defects by using the generalized off-shell free energy. Their work indicates that all black hole solutions in the pure…

General Relativity and Quantum Cosmology · Physics 2024-11-27 Yongbin Du , Xiangdong Zhang

In this paper, we study different cases of the charged rotating BTZ black hole with reference to their horizons. For the existence of these cases conditions on mass, charge and angular momentum of the black hole are obtained. It is also…

General Relativity and Quantum Cosmology · Physics 2014-11-21 M. Akbar , Azad A. Siddiqui

We obtain an exact rotating BTZ-like black hole solution by solving the corresponding gravitational field equations and the bumblebee motion equations in Einstein-bumblebee gravity theory. Result is presented for the purely radial Lorentz…

General Relativity and Quantum Cosmology · Physics 2023-07-10 Chikun Ding , Yu Shi , Jun Chen , Yuebing Zhou , Changqing Liu , Yuehua Xiao

We study the thermodynamic properties of black hole horizons in Einstein Gauss Bonnet gravity. We derive the thermodynamic products of characteristic parameters to mark which are global. We further interpret the stability of the black holes…

General Relativity and Quantum Cosmology · Physics 2015-11-03 Abhijit Mandal , Ritabrata Biswas

Inspired from the inflation brane world cosmology, we study the thermodynamics of a black hole solution in two dimensional dilaton gravity with an arctangent potential background. We first derive the two dimensional black hole geometry,…

High Energy Physics - Theory · Physics 2014-01-30 A. Belhaj , M. Chabab , H. El Moumni , M. B. Sedra , A. Segui

We propose to work on the Euclidean black hole solution with a corner rather than with the prevalent conical singularity. As a result, we find that the Wald formula for black hole entropy can be readily obtained for generic $F(R_{abcd})$…

High Energy Physics - Theory · Physics 2026-04-13 Gerui Chen , Wei Guo , Xin Lan , Hongbao Zhang , Wei Zhang

It has been recently shown for a wide range of black hole solutions in 4 and 5 dimensions that it is useful to reorganize the conventional thermodynamics on the inner and outer horizons in terms of left- and right-moving variables. The…

High Energy Physics - Theory · Physics 2024-03-28 Kiril Hristov , Riccardo Giordana Pozzi

We find a new black hole in three dimensional anti-de Sitter space by introducing an anisotropic perfect fluid inspired by the noncommutative black hole. This is a regular black hole with two horizons. We compare thermodynamics of this…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Yun Soo Myung , Myungseok Yoon
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