Thermodynamic instability of topological black holes in Gauss-Bonnet gravity with a generalized electrodynamics
作者： S. H. Hendi , S. Panahiyan
DOI: 10.1103/PHYSREVD.90.124008
关键词: Spacetime 、 Black hole thermodynamics 、 First law of thermodynamics 、 Anti-de Sitter space 、 Quantum electrodynamics 、 Topology 、 Gravitation 、 Black brane 、 Physics 、 Conservation law 、 Classical mechanics 、 Gauss–Bonnet gravity
摘要: Motivated by the string corrections on gravity and electrodynamics sides, we consider a quadratic Maxwell invariant term as correction of Lagrangian to obtain exact solutions higher dimensional topological black holes in Gauss-Bonnet gravity. We first investigate asymptotically flat conserved thermodynamic quantities which satisfy law thermodynamics. also analyze stability calculating heat capacity Hessian matrix. Then, focus horizon-flat with an anti--de Sitter (AdS) asymptote produce rotating spacetime suitable transformation. In addition, calculate for AdS branes Finally, perform instability criterion effects nonlinear canonical grand ensembles.
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