Nonlinear Electromagnetic Fields As a Source of Universe Acceleration

Abstract

A model of nonlinear electromagnetic fields with a dimensional parameter $\beta$ is proposed. From PVLAS experiment the bound on the parameter $\beta$ was obtained. Electromagnetic fields are coupled with the gravitation field and we show that the universe accelerates due to nonlinear electromagnetic fields. The magnetic universe is considered and the stochastic magnetic field is a background. After inflation the universe decelerates and approaches to the radiation era. The range of the scale factor, when the causality of the model and a classical stability take place, was obtained. The spectral index, the tensor-to-scalar ratio, and the running of the spectral index were estimated which are in approximate agreement with the PLANCK, WMAP, and BICEP2 data.

20 pages, 4 figures, to appear in IJMPA

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• Black hole as a magnetic monopole within exponential nonlinear electrodynamics
• Dyonic and magnetic black holes with nonlinear arcsin-electrodynamics
• Electromagnetic Asymmetry, Relegation of Curvature Singularities of Charged Black Holes, and Cosmological Equations of State in View of the Born--Infeld Theory
• Remarks on Heisenberg-Euler-type electrodynamics
• Black-hole solution in nonlinear electrodynamics with the maximum allowable symmetries
• Corrections to Reissner-Nordström black hole solution due to exponential nonlinear electrodynamics
• Rational nonlinear electrodynamics causes the inflation of the universe
• Dyonic black holes in framework of Born--Infeld-type electrodynamics
• Cosmology with variable $G$ and nonlinear electrodynamics
• Universe Inflation Based on Nonlinear Electrodynamics
• Self-energy problem, vacuum polarization, and dual symmetry in Born-Infeld-type $U(1)$ gauge theories
• Matter-antimatter asymmetry induced by non-linear electrodynamics
• Universe inflation and nonlinear electrodynamics
• Emergent Cosmology in Models of Nonlinear Electrodynamics
• Nonlinear electrodynamics without singularities
• Exploring the Evolution of Nonlinear Electrodynamics in the Universe: A Dynamical Systems Approach
• $n+1$-dimensional Bertotti-Robinson solutions in gravity coupled with nonlinear electrodynamics
• Inflation of Universe by Nonlinear Electrodynamics
• Black holes in $f(R)$ gravity coupled to nonlinear electromagnetic fields
• On generalized ModMax model of nonlinear electrodynamics
• How to obtain slow roll inflation driven by non-linear electrodynamics