Thermodynamic properties of asymptotically Reissner-Nordstrom black holes

Abstract

Motivated by possible relation between Born-Infeld type nonlinear electrodynamics and an effective low-energy action of open string theory, asymptotically Reissner--Nordstrom black holes whose electric field is described by a nonlinear electrodynamics (NLED) are studied. We take into account a four dimensional topological static black hole ansatz and solve the field equations, exactly, in terms of the NLED as a matter field. The main goal of this paper is investigation of thermodynamic properties of the obtained black holes. Moreover, we calculate the heat capacity and find that the nonlinearity affects the minimum size of stable black holes. We also use Legendre-invariant metric proposed by Quevedo to obtain scalar curvature divergences. We find that the singularities of the Ricci scalar in Geometrothermodynamics (GTD) method take place at the Davies points.

11 pages, 6 figures, to appear in Annals of Physics

References in corpus (9)

• Geometrothermodynamics
• Asymptotic charged BTZ black hole solutions
• Asymptotic Reissner-Nordstrom black holes
• Geometrothermodynamics of black holes
• Shear Viscosity from Effective Couplings of Gravitons
• Thermodynamics of the Maxwell-Gauss-Bonnet anti-de Sitter Black Hole with Higher Derivative Gauge Corrections
• Phase transitions in geometrothermodynamics
• Inflation from R^2 gravity: a new approach using nonlinear electrodynamics
• Effective temperature, Hawking radiation and quasinormal modes

Cited by in corpus (7)

• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in $Ad{S}_5\times S^5$ spacetime
• Thermogeometric phase transition in a unified framework
• Thermodynamic analysis of topological black holes in Gauss-Bonnet gravity with nonlinear source
• Three-dimensional black holes with scalar hair coupled to a Maxwell-like electrodynamics
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Gibbons-Hawking action for electrically charged black holes in the canonical ensemble and Davies' thermodynamic theory of black holes