Charged black hole solutions of non-linear electrodynamics and generalized gauge field theories

Abstract

We summarize the main features of a class of \emph{asymptotically anomalous} (asymptotically flat, but non Schwarzschild-like) gravitational configurations in models of gravitating non-linear electrodynamics in three space dimensions, whose Lagrangian densities are defined as arbitrary functions of the two field invariants and constrained by several physical admissibility conditions. This class of models and their associated electrostatic spherically symmetric black hole solutions are characterized by the behaviours of the Lagrangian densities around the vacuum and at the boundary of their domain of definition.

5 pages, 1 figure, extended version of the contribution to the Proceedings of the Spanish Relativity Meeting 2010 (ERE2010), held in Madrid University (Complutense), Spain (IOP Publishing)

References in corpus (8)

• Higher-dimensional black holes with a conformally invariant Maxwell source
• Born-Infeld black holes in the presence of a cosmological constant
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Charged black points in General Relativity coupled to the logarithmic $U(1)$ gauge theory
• Black hole solutions in Euler-Heisenberg theory
• Born-Infeld black hole in the isolated horizon framework
• Electrostatic spherically symmetric configurations in gravitating nonlinear electrodynamics
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Cited by in corpus (5)

• Einstein-Euler-Heisenberg Theory and charged black holes
• Nonlinearly charged Lifshitz black holes for any exponent $z>1$
• Black Holes in Double-Logarithmic Nonlinear Electrodynamics
• Non-linear effects on radiation propagation around a charged compact object
• Thermodynamics of non-linearly charged Anti-de Sitter black holes in four-dimensional Critical Gravity