Asymptotically anomalous black hole configurations in gravitating nonlinear electrodynamics

Abstract

We analyze the class of non-linear electrodynamics minimally coupled to gravitation supporting asymptotically flat \textit{non Schwarzschild-like} elementary solutions. The Lagrangian densities governing the dynamics of these models in flat space are defined and fully characterized as a subclass of the set of functions of the two standard field invariants, restricted by requirements of regularity, parity invariance and positivity of the energy, which are necessary conditions for the theories to be physically admissible. Such requirements allow for a complete characterization and classification of the geometrical structures of the elementary solutions for the corresponding gravity-coupled models. In particular, an immediate consequence of the requirement of positivity of the energy is the asymptotic flatness of gravitating elementary solutions for any admissible model. The present analysis, together with the (already published) one concerning the full class of admissible gravitating non-linear electrodynamics supporting asymptotically flat \textit{Schwarzschild-like} elementary solutions, completes and exhausts the study of the gravitating point-like charge problem for this kind of models.

12 pages, 6 figures, revtex4, added extra paragraph in conclusions, added some references, added other minor changes, to published in Phys.Rev.D

References in corpus (22)

• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• On non-abelian generalisation of Born-Infeld action in string theory
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
• Regular electrically charged structures in Nonlinear Electrodynamics coupled to General Relativity
• Non-Singular Charged Black Hole Solution for Non-Linear Source
• Geometrical aspects of light propagation in nonlinear electrodynamics
• Higher-dimensional black holes with a conformally invariant Maxwell source
• 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 Theory and Stringy Causality
• New Type of Regular Black Holes and Particlelike Solutions from Nonlinear Electrodynamics
• Born-Infeld black hole in the isolated horizon framework
• BPS States of the Non-Abelian Born-Infeld Action
• (2+1)-Dimensional Black Hole with Coulomb-like Field
• Singularities in General Relativity coupled to nonlinear electrodynamics
• Electrostatic spherically symmetric configurations in gravitating nonlinear electrodynamics
• Non-Linear Electrodynamics in Curved Backgrounds
• A study on relativistic lagrangian field theories with non-topological soliton solutions
• Generalized gauge field theories with non-topological soliton solutions

Cited by in corpus (18)

• Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics
• Einstein-Euler-Heisenberg Theory and charged black holes
• Nonsingular Black Holes in $f(R)$ Theories
• What is a singular black hole beyond General Relativity?
• Nonsingular black holes, wormholes, and de Sitter cores from anisotropic fluids
• Absorption by black hole remnants in metric-affine gravity
• Thermodynamic analysis of black hole solutions in gravitating nonlinear electrodynamics
• Palatini wormholes and energy conditions from the prism of General Relativity
• Reissner-Nordstrom Black Holes in the Inverse Electrodynamics Model
• Black Holes in Double-Logarithmic Nonlinear Electrodynamics
• Nonlinear electromagnetic fields in strictly stationary spacetimes
• Nonsingular black holes in Palatini extensions of General Relativity
• Charged black hole solutions of non-linear electrodynamics and generalized gauge field theories
• Thermodynamic analysis of non-linear Reissner-Nordstrom black holes
• Magnetic solutions in Einstein-massive gravity with linear and nonlinear fields
• Non-linear effects on radiation propagation around a charged compact object
• Structure and thermodynamics of charged nonrotating black holes in higher dimensions
• On the stability of black holes with nonlinear electromagnetic fields