Universe inflation and nonlinear electrodynamics

Abstract

WE analyse the universe inflation when the source of gravity is electromagnetic fields obeying nonlinear electrodynamics with two parameters and without singularities. The cosmology of the universe with stochastic magnetic fields is considered. The condition for the universe inflation is obtained. It is demonstrated that singularities of the energy density and pressure are absent as the scale factor approaches to zero. When the scale factor goes to infinity one has equation of state for ultra-relativistic case. The curvature invariants do not possess singularities. The evolution of universe is described showing that at large time the scale factor corresponds to the radiation era. The duration of universe inflation is analysed. We study the classical stability and causality by computing the speed of the sound. Cosmological parameters such as the spectral index $n_s$, the tensor-to-scalar ratio $r$ and the running of the spectral index ${\alpha }_s$ are evaluated.

19 pages, 8 figures. Corrected typo in equation (34) in published paper Eur.Phys.J.C 84 (2024) 2, 205

References in corpus (19)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Inflationary Cosmology
• 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
• Nonlinear electrodynamics and magnetic black holes
• No compelling cosmological models come out of magnetic universes which are based in nonlinear electrodynamics
• Acceleration of Universe by Nonlinear Electromagnetic Fields
• Homogeneous and isotropic cosmologies with nonlinear electromagnetic radiation
• Nonlinear Electromagnetic Fields As a Source of Universe Acceleration
• Inflation of universe due to nonlinear electrodynamics
• Rational nonlinear electrodynamics causes the inflation of the universe
• Inflation Driven by Non-Linear Electrodynamics
• Comment on "Extended Born-Infeld theory and the bouncing magnetic universe"
• Nonlinear electrodynamics without singularities

Cited by in corpus (1)

• Exploring the Evolution of Nonlinear Electrodynamics in the Universe: A Dynamical Systems Approach