BTZ-like black holes in even dimensional Lovelock theories

Canfora, Fabrizio; Giacomini, Alex

doi:10.1103/physrevd.82.024022

Cited by 27 publications

(39 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(14) and (15), it is evident that there is an essential singularity at the origin. Besides, considering the behavior of the Kretschmann and Ricci scalars at large values of r , one can confirm that obtained solution is asymptotically AdS.…”

Section: Thermodynamic Properties Of Charged Btz Black Holementioning

confidence: 98%

“…These solutions provide simplified machinery that enables us to investigate different aspects of the black objects, such as their thermodynamics [4][5][6][7][8][9][10]. The generalization of these black holes to higher dimensions has been employed to investigate the black holes solutions and their thermodynamics [11][12][13][14][15]. In addition, BTZ black holes have been used to expand our understanding of gravitational interaction in low dimensional spacetimes [16].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Thermodynamic stability of charged BTZ black holes: ensemble dependency problem and its solution

2015

View full text Add to dashboard Cite

Motivated by the wide applications of thermal stability and phase transition, we investigate thermodynamic properties of charged BTZ black holes. We apply the standard method to calculate the heat capacity and the Hessian matrix and find that thermal stability of charged BTZ solutions depends on the choice of ensemble. To overcome this problem, we take into account cosmological constant as a thermodynamical variable. By this modification, we show that the ensemble dependency is eliminated and thermal stability conditions are the same in both ensembles. Then, we generalize our solutions to the case of nonlinear electrodynamics. We show how nonlinear matter field modifies the geometrical behavior of the metric function. We also study phase transition and thermal stability of these black holes in context of both canonical and grand canonical ensembles. We show that by considering the cosmological constant as a thermodynamical variable and modifying the Hessian matrix, the ensemble dependency of thermal stability will be eliminated.

show abstract

Section: Thermodynamic Properties Of Charged Btz Black Holementioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Thermodynamic stability of charged BTZ black holes: ensemble dependency problem and its solution

2015

View full text Add to dashboard Cite

show abstract

“…Further aspects of this spacetime have been discussed in Refs. [60][61][62][63][64][65][66][67][68].…”

Section: Further Exact Solutionsmentioning

confidence: 99%

Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum

Matulich

Troncoso

2011

J. High Energ. Phys.

View full text Add to dashboard Cite

Static asymptotically Lifshitz wormholes and black holes in vacuum are shown to exist for a class of Lovelock theories in d = 2n + 1 > 7 dimensions, selected by requiring that all but one of their n maximally symmetric vacua are AdS of radius l and degenerate. The wormhole geometry is regular everywhere and connects two Lifshitz spacetimes with a nontrivial geometry at the boundary. The dynamical exponent z is determined by the quotient of the curvature radii of the maximally symmetric vacua according to n(L 2 , where L 2 corresponds to the curvature radius of the nondegenerate vacuum. Light signals are able to connect both asymptotic regions in finite time, and the gravitational field pulls towards a fixed surface located at some arbitrary proper distance to the neck. The asymptotically Lifshitz black hole possesses the same dynamical exponent and a fixed Hawking temperature given by T = z 2 z πl . Further analytic solutions, including pure Lifshitz spacetimes with a nontrivial geometry at the spacelike boundary, and wormholes that interpolate between asymptotically Lifshitz spacetimes with different dynamical exponents are also found.

show abstract

“…Indeed exact solutions with nontrivial torsion have been found [7][8][9][10][11], but here we will consider the torsion-free case.…”

Section: Introductionmentioning

confidence: 99%

Dynamical compactification in Einstein-Gauss-Bonnet gravity from geometric frustration

2013

Self Cite

View full text Add to dashboard Cite

In this paper we study dynamical compactification in Einstein-Gauss-Bonnet gravity from an arbitrary dimension for generic values of the coupling constants. We show that, when the curvature of the extra-dimensional space is negative, for any value of the spatial curvature of the four-dimensional space-time one obtains a realistic behavior in which for asymptotic time both the volume of the extra dimension and expansion rate of the four-dimensional space-time tend to a constant. Remarkably, this scenario appears within the open region of parameters space for which the theory does not admit any maximally symmetric (4 þ D)-dimensional solution, which gives to the dynamical compactification an interpretation as geometric frustration. In particular there is no need to fine-tune the coupling constants of the theory so that the present scenario does not violate the ''naturalness hypothesis.'' Moreover we show that with an increase of the number of extra dimensions the stability properties of the solution are increased.

show abstract

BTZ-like black holes in even dimensional Lovelock theories

Cited by 27 publications

References 41 publications

Thermodynamic stability of charged BTZ black holes: ensemble dependency problem and its solution

Thermodynamic stability of charged BTZ black holes: ensemble dependency problem and its solution

Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum

Dynamical compactification in Einstein-Gauss-Bonnet gravity from geometric frustration

Contact Info

Product

Resources

About