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

dc.creatorDehghani, M. H.
dc.creatorSedehi, H. R. Rastegar
dc.date2006-10-23
dc.date.accessioned2026-07-07T11:28:04Z
dc.date.available2026-07-07T11:28:04Z
dc.descriptionWe 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.
dc.description12 pages, one figure
dc.identifierhttps://arxiv.org/abs/hep-th/0610239
dc.identifierhttp://arxiv.org/abs/hep-th/0610239
dc.identifierPhys.Rev.D74:124018,2006
dc.identifierdoi:10.1103/PhysRevD.74.124018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196325
dc.subjectHigh Energy Physics - Theory
dc.titleThermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld gravity
dc.typetext

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