A model of nonlinear electrodynamics

Abstract

A new model of nonlinear electrodynamics with two parameters is investigated. We also consider a model with one dimensional parameter. It was shown that the electric field of a point-like charge is not singular at the origin and there is the finiteness of the static electric energy of point-like charged particle. We obtain the canonical and symmetrical Belinfante energy-momentum tensors and dilatation currents. It is demonstrated that the dilatation symmetry and dual symmetry are broken in the models suggested. We have calculated the static electric energy of point-like particles.

Universe acceleration and nonlinear electrodynamics

“…the same property as in the ΛCDM model. The absence of singularities is an attractive feature which is connected with the particular NLE [11]. From Einstein's equation (7) and the energy-momentum tensor (2) we obtain the Ricci scalar…”

“…Here we consider the effective theory of nonlinear electromagnetic fields with the dimensional parameter β suggested in Ref. [11] and its influence on cosmology. The parameter β 1/4 possesses the dimension of the length, and there is the maximum of the possible electric field strength E max = 1/ √ β in the model under consideration.…”

Accelerating cosmologies with nonlinear electrodynamics

“…For n = 1, our model reduces to FRW model [23]. With n, other than 1, our model generalizes [23], here we conclude that GSLT is not always satisfied in this class of NLE models given by Lagrangian density as in [22].…”

“…The NLE coupled with gravity may give the negative pressure and hence accelerate the universe [16,17,21]. The evolution of universe in the Einstein-NLE background prevent the initial big bang singularity [22][23][24][25].…”

Nonlinear electrodynamics and black holes

“…In this paper we consider the NLE model, which is self-consistent and satisfies all natural requirements, coupled to gravitational field. That NLE equations depend on a dimensional constant β giving a maximum electric field strength [14]. Our goal is to investigate Einstein-NLE model and its influence on the evolution of universe.…”