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Thermodynamic analysis of topological black holes in Gauss-Bonnet gravity with nonlinear source

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arxiv 1406.2357 v2 pith:BB3F72WD submitted 2014-05-30 gr-qc hep-th

classification gr-qchep-th
keywords solutionsblackthermodynamicasymptoticallygauss-bonnetgravityholesinvestigate
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Employing two classes of nonlinear electrodynamics, we obtain topological black hole solutions of Gauss-Bonnet gravity. We investigate geometric properties of the solutions and find that there is an intrinsic singularity at the origin. We investigate the thermodynamic properties of the asymptotically flat black holes and also asymptotically adS solutions. Using suitable local transformation, we generalize static horizon-flat solutions to rotating ones. We discuss their conserved and thermodynamic quantities as well as the first law of thermodynamics. Finally, we calculate the heat capacity of the solutions to obtain a constraint on the horizon radius of stable solutions.

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Cited by 1 Pith paper

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  1. Black holes in Einstein-Gauss-Bonnet gravity with a background of modified Chaplygin gas

    gr-qc 2019-08 conditional novelty 4.0 of 10

    The authors obtain a static 5D Einstein-Gauss-Bonnet black hole solution surrounded by modified Chaplygin gas and analyze its thermodynamics, scalar tunneling, and perturbative stability.

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