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We show that three-dimensional massive gravity admits Lifshitz metrics with generic values of the dynamical exponent z as exact solutions. At the point z=3, exact black hole solutions which are asymptotically Lifshitz arise. These…

High Energy Physics - Theory · Physics 2014-11-20 E. Ayón-Beato , A. Garbarz , G. Giribet , M. Hassaine

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

We relate various black hole solutions in the near-horizon region to black hole solutions in two-dimensional dilaton gravity theories in order to argue that thermodynamics of black holes in D>=4 can be effectively described by…

High Energy Physics - Theory · Physics 2009-10-31 Donam Youm

We show that all thermodynamic quantities of the Einstein-Born-Infeld black holes in three dimensions can be obtained from the dilaton and its potential of two dimensional dilaton gravity through the dimensional reduction. These are all…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park

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 three dimensional black hole solutions of Ba\~nados, Teitelboim and Zanelli (BTZ) are dimensionally reduced in various different ways. Solutions are obtained to the Jackiw-Teitelboim theory of two dimensional gravity for spinless BTZ…

High Energy Physics - Theory · Physics 2014-11-18 Ana Achúcarro , Miguel Ortiz

We apply the recently extended conserved Killing charge definition of Abbott-Deser-Tekin formalism to compute, for the first time, the energies of analytic Lifshitz black holes in higher dimensions. We then calculate the temperature and the…

High Energy Physics - Theory · Physics 2011-07-08 Deniz Olgu Devecioglu , Ozgur Sarioglu

We consider two-dimensional dilaton-gravity theories with a generic exponential potential for the dilaton, and obtain the most general black hole solutions in the Schwarzshild form. We discuss their geometrical and thermodynamical…

High Energy Physics - Theory · Physics 2009-10-28 S. Mignemi

We generalize the four-dimensional R^2-corrected z=3/2 Lifshitz black hole to a two-parameter family of black hole solutions for any dynamical exponent z and for any dimension D. For a particular relation between the parameters, we find the…

High Energy Physics - Theory · Physics 2014-11-20 Eloy Ayón-Beato , Alan Garbarz , Gaston Giribet , Mokhtar Hassaïne

In this paper, we focus on massive Einstein-dilaton gravity including the coupling of dilaton scalar field to massive graviton terms, and then derive static and spherically symmetric solutions of dilatonic black holes in four dimensional…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Bo Liu , Rui-Hong Yue , De-Cheng Zou , Lina Zhang , Zhan-Ying Yang , Qiyuan Pan

It is well known that massive 3D gravity admits solutions that describe Lifshitz black holes as those considered in non-relativistic holography. However, the determination of the mass of such black holes remained unclear as many different…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Gaston Giribet , Edmundo Lavia

A model of 3+1 dimensional gravity with negative cosmological constant coupled to abelian gauge fields has been proposed as a gravity dual for Lifshitz like critical phenomena in 2+1 dimensions. The finite temperature behavior is described…

High Energy Physics - Theory · Physics 2009-04-23 Ulf H. Danielsson , Larus Thorlacius

Two-dimensional ($2D$) Lifshitz-like black holes in special $F(R)$ gravity cases are extracted. We indicate an essential singularity at $r=0$, covered with an event horizon. Then conserved and thermodynamic quantities such as temperature,…

General Relativity and Quantum Cosmology · Physics 2022-11-03 B. Eslam Panah

I find a class of black hole solutions to a (3+1) dimensional theory gravity coupled to abelian gauge fields with negative cosmological constant that has been proposed as the dual theory to a Lifshitz theory describing critical phenomena in…

High Energy Physics - Theory · Physics 2009-05-11 R. B. Mann

We consider spatially homogeneous Lifshitz black hole solutions in five dimensional higher derivative gravity theories, which can be possible near horizon geometries of some systems that are interesting in the framework of gauge/gravity…

High Energy Physics - Theory · Physics 2015-06-04 Yan Liu

We investigate the Lifshitz black holes from the Ho\v{r}ava-Lifshitz gravity by comparing with the Lifshitz black hole from the 3D new massive gravity. We note that these solutions all have single horizons. These black holes are very…

High Energy Physics - Theory · Physics 2014-11-20 Yun Soo Myung

We consider z=4 Horava-Lifshitz gravity in both 3+1 and 4+1 dimensions. We find black hole solutions in the IR region for a kind of z=4 Horava-Lifshitz gravity which is inherited from the new massive gravity in three dimensions and an…

High Energy Physics - Theory · Physics 2009-08-11 Rong-Gen Cai , Yan Liu , Ya-Wen Sun

We obtain exact solutions of charged asymptotically Lifshitz black holes in arbitrary (d+2) dimensions, generalizing the four dimensional solution investigated in 0908.2611[hep-th]. We find that both the conventional Hamiltonian approach…

High Energy Physics - Theory · Physics 2015-05-14 Da-Wei Pang

A one parameter family of static charged black hole solutions in $(2+1)$-dimensional general relativity minimally coupled to a dilaton $\phi\propto ln({r\over\beta})$ with a potential term $e^{b\phi}\Lambda$ is obtained. Their causal…

General Relativity and Quantum Cosmology · Physics 2014-11-17 K. C. K. Chan , R. B. Mann

The most general two-dimensional dilaton gravity theory coupled to an Abelian gauge field is considered. It is shown that, up to spacetime diffeomorphisms and $U(1)$ gauge transformations, the field equations admit a two-parameter family of…

General Relativity and Quantum Cosmology · Physics 2010-11-01 D. Louis-Martinez , G. Kunstatter
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