Reissner-Nordstrom Black Holes in the Inverse Electrodynamics Model

Abstract

We study electric and magnetic monopoles in static, spherically symmetric and constant curvature geometries in the context of the inverse electrodynamics model. We prove that this U(1) invariant Lagrangian density is able to support the standard metric of a Reissner-Nordstrom Black Hole, but with more complex thermodynamical properties than in the standard case. By employing the Euclidean Action approach we perform a complete analysis of its phase space depending on the sign and singularities of the heat capacity and the Helmholtz free energy.

published version in JCAP 02 (2015) 042, minor changes, Conclusions enlarged, 9 pages, 4 figures, two-column format

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Cited by in corpus (11)

• Introductory Notes on Non-linear Electrodynamics and its Applications
• Black-hole solution in nonlinear electrodynamics with the maximum allowable symmetries
• Born-Infeld and Charged Black Holes with non-linear source in $f(T)$ Gravity
• Quasinormal modes, greybody factors and thermodynamics of four dimensional AdS black holes in Critical Gravity
• Black hole solutions in functional extensions of Born-Infeld gravity
• Nonsingular black holes in Palatini extensions of General Relativity
• Self-energy problem, vacuum polarization, and dual symmetry in Born-Infeld-type $U(1)$ gauge theories
• Thermodynamics of blackbody radiation in nonlinear electrodynamics
• On generalized ModMax model of nonlinear electrodynamics
• Comment on "Reissner-Nordström Black Holes in the Inverse Electrodynamics Model, [arXiv:1407.4383]"
• Remarks on inverse electrodynamics