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arXiv · hep-th/0610239

Thermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld gravity

M. H. Dehghani·H. R. Rastegar Sedehi
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Abstract

We construct a new class of charged rotating solutions of $(n+1)$-dimensional Einstein-Born-Infeld gravity with cylindrical or toroidal horizons in the presence of cosmological constant and investigate their properties. These solutions are asymptotically (anti)-de Sitter and reduce to the solutions of Einstein-Maxwell gravity as the Born-Infeld parameters goes to infinity. We find that these solutions can represent black branes, with inner and outer event horizons, an extreme black brane or a naked singularity provided the parameters of the solutions are chosen suitably. We compute temperature, mass, angular momentum, entropy, charge and electric potential of the black brane solutions. We obtain a Smarr-type formula and show that these quantities satisfy the first law of thermodynamics. We also perform a stability analysis by computing the heat capacity and the determinant of Hessian matrix of mass with respect to its thermodynamic variables in both the canonical and the grand-canonical ensembles, and show that the system is thermally stable in the whole phase space.

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M. H. Dehghani, H. R. Rastegar Sedehi. 2006-10-23. Thermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld gravity. https://doi.org/10.1103/physrevd.74.124018

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