Thermodynamics of asymptotically flat charged black holes in third order Lovelock gravity

Dehghani, M. H.; Shamirzaie, M.

doi:10.1103/physrevd.72.124015

Cited by 93 publications

(110 citation statements)

References 47 publications

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“…Lovelock gravity and investigated their thermodynamics [12], and made the first attempt for finding exact static solutions in third order Lovelock gravity with the quartic terms [13], and presented the charged rotating black brane solutions of third order Lovelock gravity [14].…”

Section: Introductionmentioning

confidence: 99%

Spacetimes with longitudinal and angular magnetic fields in third order Lovelock gravity

Dehghani

Bostani

2007

Phys. Rev. D

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We obtain two new classes of magnetic brane solutions in third order Lovelock gravity. The first class of solutions yields an (n + 1)-dimensional spacetime with a longitudinal magnetic field generated by a static source. We generalize this class of solutions to the case of spinning magnetic branes with one or more rotation parameters. These solutions have no curvature singularity and no horizons, but have a conic geometry. For the spinning brane, when one or more rotation parameters are nonzero, the brane has a net electric charge which is proportional to the magnitude of the rotation parameters, while the static brane has no net electric charge. The second class of solutions yields a spacetime with an angular magnetic field. These solutions have no curvature singularity, no horizon, and no conical singularity. Although the second class of solutions may be made electrically charged by a boost transformation, the transformed solutions do not present new spacetimes. Finally, we use the counterterm method in third order Lovelock gravity and compute the conserved quantities of these spacetimes. * email address: mhd@shirazu.ac.ir

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Section: Introductionmentioning

confidence: 99%

Spacetimes with longitudinal and angular magnetic fields in third order Lovelock gravity

Dehghani

Bostani

2007

Phys. Rev. D

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“…(In contrast, there is only one branch of real solutions in the third-order Lovelock gravity [32].) Secondly, the metric function (3.12) reduces to the solutions obtained by Dotti and Gleiser [19] for C = 0, by Boulware and Deser, and independently by Wheeler [5] for Θ = 0, C = 0, k = 1, and Λ = 0 and by Lorenz-Petzold and independently by Cai for Θ = 0 and C = 0 [10,12].…”

Section: The Jebsen-birkhoff Theoremmentioning

confidence: 99%

Magnetic black holes with higher-order curvature and gauge corrections in even dimensions

Maeda

Hassaı̈ne

Martínez

2010

J. High Energ. Phys.

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We obtain magnetic black-hole solutions in arbitrary n(≥ 4) even dimensions for an action given by the Einstein-Gauss-Bonnet-Maxwell-Λ pieces with the F 4 gauge-correction terms. This action arises in the low energy limit of heterotic string theory with constant dilaton and vanishing higher form fields. The spacetime is assumed to be a warped product M 2 × K n−2 , where K n−2 is a (n − 2)-dimensional Einstein space satisfying a condition on its Weyl tensor, originally considered by Dotti and Gleiser. Under a few reasonable assumptions, we establish the generalized JebsenBirkhoff theorem for the magnetic solution in the case where the orbit of the warp factor on K n−2 is non-null. We prove that such magnetic solutions do not exist in odd dimensions. In contrast, in even dimensions, we obtain an explicit solution in the case where K n−2 is a product manifold of (n − 2)/2 two-dimensional maximally symmetric spaces with the same constant warp factors. In this latter case, we show that the global structure of the spacetime sharply depends on the existence of the gauge-correction terms as well as the number of spacetime dimensions.

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“…Due to the AdS/CFT correspondence, these extended terms give a correction to the large N expansion of boundary CFTs on the side of dual field theory [4][5][6]. So far, the exact static and spherically symmetric black hole solutions have been investigated in [7], thermodynamics of black holes in [7][8][9][10] in third order Lovelock gravity. In addition, some rotating black branes [11][12][13] and slowly rotating black holes [14][15][16][17] have been discussed in the second (Gauss-Bonnet) and third order Lovelock gravity.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of Third Order Lovelock—Born—Infeld Black Holes

Yue

Zou

2011

Commun. Theor. Phys.

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We here explore black holes in the third order Lovelock gravity coupling with nonlinear Born-Infeld electromagnetic field. Considering special second and third order coefficients (α 2 2 = 3α 3 = α 2 ), we analyze the thermodynamics of third order Lovelock-Born-Infeld black holes and, in 7-dimensional AdS space-time, discuss the stability of black holes in different event horizon structures. We find that the cosmological constant Λ plays an important role in the distribution of stable regions of black holes.

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Thermodynamics of asymptotically flat charged black holes in third order Lovelock gravity

Cited by 93 publications

References 47 publications

Spacetimes with longitudinal and angular magnetic fields in third order Lovelock gravity

Spacetimes with longitudinal and angular magnetic fields in third order Lovelock gravity

Magnetic black holes with higher-order curvature and gauge corrections in even dimensions

Thermodynamics of Third Order Lovelock—Born—Infeld Black Holes

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