Asymptotic Reissner-Nordström solution within nonlinear electrodynamics

Abstract

A model of nonlinear electrodynamics coupled with the gravitational field is studied. We obtain the asymptotic black hole solutions at $r\to 0$ and $r\to \infty$. The asymptotic at $r\to 0$ is shown, and we find corrections to the Reissner-Nordström solution and Coulomb's law at $r\to \infty$. The mass of the black hole is evaluated having the electromagnetic origin. We investigate the thermodynamics of charged black holes and their thermal stability. The critical point corresponding to the second-order phase transition (where heat capacity diverges) is found. If the mass of the black hole is greater than the critical mass, the black hole becomes unstable.

16 pages, 6 figures

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Cited by in corpus (4)

• Nonlinear electrodynamics and magnetic black holes
• Black hole as a magnetic monopole within exponential nonlinear electrodynamics
• Corrections to Reissner-Nordström black hole solution due to exponential nonlinear electrodynamics
• Interaction between two point-like charges in nonlinear electrostatics