Generating Static, Spherically Symmetric Black Holes in Lovelock Gravity

Lovelock theory is a natural extension of the Einstein theory of general relativity to higher dimensions in which the first and second orders correspond, respectively, to general relativity and Einstein-Gauss-Bonnet gravity. We present exact black hole solutions of D ≥ 4-dimensional spacetime for first-, second-, and third-order Lovelock gravities in a string cloud background. Further, we compute the mass, temperature, and entropy of black hole solutions for the higher-dimensional general relativity and Einstein-Gauss-Bonnet theories and also perform thermodynamic stability of black holes. It turns out that the presence of the Gauss-Bonnet term and/or background string cloud completely changes the black hole thermodynamics. Interestingly, the entropy of a black hole is unaffected due to a background string cloud. We rediscover several known spherically symmetric black hole solutions in the appropriate limits.

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“…[7] and the latter in Refs. [8][9][10]. The black hole solution in Einstein-Gauss-Bonnet theory in a string cloud model was considered in Refs.…”

Section: Introductionmentioning

confidence: 99%

Cloud of strings in third order Lovelock gravity

2014

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“…The solution can be exactly verified through Ref. [14]. Since ω represents the mass it should be positive, ω ≥ 0.…”

Section: Spherically Symmetric Solution In Lovelock Gravitymentioning

confidence: 78%

“…Using Gauss-Bonnet gravity, static, spherically symmetric solutions were obtained later [11,12] with thermodynamic properties [13]. Static, spherically symmetric black hole solutions in Lovelock gravity with general energymomentum tensors in any arbitrary dimension can be found in [14] and [15][16][17][18][19][20][21][22] and its thermodynamics in [23]. Further extensive studies of Gauss-Bonnet black holes with a focus on the thermodynamic properties have been found in [24,25].…”

Section: Introductionmentioning

confidence: 99%

Lovelock black holes in a string cloud background

2015

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We present an exact static, spherically symmetric black hole solution to the third-order Lovelock gravity with a string cloud background in seven dimensions for the special case when the second-and third-order Lovelock coefficients are related viaα 2 2 = 3α 3 (≡ α 2 ). Further, we examine thermodynamic properties of this black hole to obtain exact expressions for mass, temperature, heat capacity and entropy, and also perform the thermodynamic stability analysis. We see that a string cloud background has a profound influence on the horizon structure, thermodynamic properties, and the stability of black holes. Interestingly the entropy of the black hole is unaffected due to the string cloud background. However, the critical solution for thermodynamic stability is affected by the string cloud background.

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“…(63) do not belong to the Hilbert space H (we refer to the references; [46] for detailed mathematical analysis and [47][48][49][50][51][52][53][54][55][56][57][58][59][60] for applications of the HM approach in different spacetimes). This will be achieved by defining the function space on each t =constant hypersurface as H = { R| R < ∞} with the following norm given for the metric (2):…”

Section: Quantum Singularitiesmentioning

confidence: 99%

A new Einstein-nonlinear electrodynamics solution in $$2+1$$ 2 + 1 dimensions

2014

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We introduce a class of solutions in 2 + 1-dimensional Einstein-Power-Maxwell theory for a circularly symmetric electric field. The electromagnetic field is considered with an angular component given byFirst, we show that the metric for zero cosmological constant and the Power-MaxwellLagrangian of the form of F μν F μν coincides with the solution given in 2 + 1-dimensional gravity coupled with a massless, self-interacting real scalar field. With the same Lagrangian and a non-zero cosmological constant we obtain a non-asymptotically flat wormhole solution in 2 + 1 dimensions. The confining motions of massive charged and chargeless particles are investigated too. Secondly, another interesting solution is given for zero cosmological constant together with the conformal invariant condition. The formation of a timelike naked singularity for this particular case is investigated within the framework of the quantum mechanics. Quantum fields obeying the Klein-Gordon and Dirac equations are used to probe the singularity and test the quantum mechanical status of the singularity.

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Generating Static, Spherically Symmetric Black Holes in Lovelock Gravity

Cited by 24 publications

References 33 publications

Cloud of strings in third order Lovelock gravity

Cloud of strings in third order Lovelock gravity

Lovelock black holes in a string cloud background

A new Einstein-nonlinear electrodynamics solution in $$2+1$$ 2 + 1 dimensions

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