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

Abstract

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.

accepted in Eur. Phys. J. C (DOI: 10.1140/epjc/s10052-014-3079-9)

References in corpus (16)

• Asymptotic charged BTZ black hole solutions
• Asymptotic Reissner-Nordstrom black holes
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• If Gauss-Bonnet interaction plays the role of dark energy
• Catastrophic Instability of Small Lovelock Black Holes
• Thermodynamics of Rotating Black Branes in Gauss-Bonnet-Born-Infeld Gravity
• Holographic Superconductors in Gauss-Bonnet gravity with Born-Infeld electrodynamics
• Causal Structures in Gauss-Bonnet gravity
• A type of Born-Infeld regular gravity and its cosmological consequences
• Stability of Lovelock Black Holes under Tensor Perturbations
• Thermodynamic properties of asymptotically Reissner-Nordstrom black holes
• Hydrodynamics with conserved current via AdS/CFT correspondence in the Maxwell-Gauss-Bonnet gravity
• The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity
• Gauss-Bonnet braneworld cosmological effect on relic density of dark matter
• A simple expression for the ADM mass

Cited by in corpus (6)

• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• New perspective for black hole thermodynamics in Gauss-Bonnet-Born-Infeld massive gravity
• Maxwell's equal-area law for Gauss-Bonnet Anti-de Sitter black holes
• Thermodynamic instability of topological black holes in Gauss-Bonnet gravity with a generalized electrodynamics
• Geodesic of nonlinear electrodynamics and stable photon orbits