Universe Inflation Based on Nonlinear Electrodynamics

Abstract

A new model of nonlinear electrodynamics with dimensional parameters $\beta$ and $\gamma$ is proposed. The principles of causality and unitarity are studied. We show that a singularity of the electric field at the origin of charges is absent and the maximum of the electric field in the center is $E(0)=1/\sqrt{\beta }$. The dual symmetry is broken in our model. Corrections to the Coulomb law as $r\to \infty$ are in the order of $\mathcal{O}(r^{-4})$. The source of the gravitation field and inflation of the universe is electromagnetic fields. It is supposed that the universe is filled by stochastic magnetic fields. We demonstrate that after the universe inflation the universe decelerates approaching the Minkowski spacetime. The singularities of the Ricci scalar, the Ricci tensor squared and the Kretschmann scalar are absent. We calculate the speed of sound. The spectral index, the tensor-to-scalar ratio, and the running of the spectral index, which approximately agree with the PLANK and WMAP data, are evaluated.

22 pages, 7 figures. 1 table

References in corpus (25)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Planck 2013 results. XVI. Cosmological parameters
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Planck 2013 results. XXIII. Isotropy and statistics of the CMB
• Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
• Planck 2018 results. VII. Isotropy and Statistics of the CMB
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Non-linear electrodynamics and the acceleration of the universe
• Born-Infeld Quantum Condensate as Dark Energy in the Universe
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Nonsingular FRW cosmology and nonlinear electrodynamics
• The Origin and Evolution of Cosmic Magnetism
• Universe acceleration and nonlinear electrodynamics
• Cosmological Effects of Nonlinear Electrodynamics
• No compelling cosmological models come out of magnetic universes which are based in nonlinear electrodynamics
• Effective Lagrangian in nonlinear electrodynamics and its properties of causality and unitarity
• Acceleration of Universe by Nonlinear Electromagnetic Fields
• Born-Infeld Cosmologies
• Homogeneous and isotropic cosmologies with nonlinear electromagnetic radiation
• Nonlinear Electromagnetic Fields As a Source of Universe Acceleration
• On generalized Born--Infeld electrodynamics
• Inflation of universe due to nonlinear electrodynamics
• Dark matter and generation of galactic magnetic fields
• Comment on "Extended Born-Infeld theory and the bouncing magnetic universe"

Cited by in corpus (5)

• Rational nonlinear electrodynamics causes the inflation of the universe
• Cosmology with variable $G$ and nonlinear electrodynamics
• Magnetic black holes in AdS space with nonlinear electrodynamics, extended phase space thermodynamics and Joule--Thomson expansion
• Inflation of Universe by Nonlinear Electrodynamics
• Planckian charged black holes and their cosmological ramifications