Black holes and the classical model of a particle in Einstein non-linear electrodynamics theory

Abstract

Modified by a logarithmic term, the non-linear electrodynamics (NED) model of the Born-Infeld (BI) action is reconsidered. Unlike the standard BI action, this choice provides interesting integrals of the Einstein-NED equations. It is found that the spherical matching process for a regular black hole entails indispensable surface stresses that vanish only for a specific value of the BI parameter. This solution represents a classical model of an elementary particle whose radius coincides with the horizon. In flat space time, a charged particle becomes a conducting shell with a radius proportional to the BI parameter.

11 pages, no figure, To appear in Phys. Lett. B

References in corpus (17)

• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
• Regular phantom black holes
• Non-linear electrodynamics and the acceleration of the universe
• Regular black holes and black universes
• Regular (2+1)-dimensional black holes within non-linear Electrodynamics
• The Melvin Universe in Born-Infeld Theory and other Theories of Non-Linear Electrodynamics
• Singularities in General Relativity coupled to nonlinear electrodynamics
• Quasi-black holes: definition and general properties
• Classical glueballs in non-Abelian Born-Infeld theory
• Non-Linear Electrodynamics in Curved Backgrounds
• Gravitational Analogues of Non-linear Born Electrodynamics
• Classical model of elementary particle with Bertotti-Robinson core and extremal black holes
• New non-Abelian black hole solutions in Born-Infeld gravity
• Regular and black-hole solutions of the Einstein-Yang-Mills-Higgs equations; the case of nonminimal coupling

Cited by in corpus (14)

• Remarks on nonlinear Electrodynamics
• Finite Field-Energy and Interparticle Potential in Logarithmic Electrodynamics
• Theorem to generate Einstein-Non Linear Maxwell Fields
• Dispersion Relations in Non-Linear Electrodynamics and the Kinematics of the Compton Effect in a Magnetic Background
• Regular black holes with flux tube core
• Magnetic brane solutions of Lovelock gravity with nonlinear electrodynamics
• Regular charged black hole construction in 2+1 -dimensions
• Black hole and thin-shell wormhole solutions in Einstein-Hoffman-Born-Infeld theory
• Ground State H-Atom in Born-Infeld Theory
• Zel'dovich states with very small mass and charge in nonlinear electrodynamics coupled to gravity
• Dynamics of Geodesics in Non-linear Electrodynamics Corrected Black Hole and Shadows of its Rotating Analogue
• Parallel-plate and spherical capacitors in Born-Infeld electrostatics: An analytical study
• Model of a spin-$1/2$ electric charge in $F\left(B^2\right)$ modified Weyl gravity
• On the nonlinear electrodynamics in a Lorentz-breaking scenario