https://doi.org/10.1140/epjc/s10052-023-11481-3
Regular Article - Theoretical Physics
Inflation driven by non-linear electrodynamics
1
Department of Applied Physics and Astronomy, University of Sharjah, Sharjah, United Arab Emirates
2
Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla, 1280, Antofagasta, Chile
3
Institute of Systems Science, Durban University of Technology, PO Box 1334, 4000, Durban, South Africa
4
Physics Department, Eastern Mediterranean University, North Cyprus Via Mersin 10, 99628, Famagusta, Turkey
5
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, 04510, Mexico, Mexico
6
Dipartimento di Fisica and ICRANet, Università di Roma “La Sapienza”, 00185, Rome, Italy
Received:
9
January
2023
Accepted:
6
April
2023
Published online:
5
May
2023
We investigate the inflation driven by a nonlinear electromagnetic field based on an NLED lagrangian density 
, where 
is a general function depending on F. We first formulate an f-NLED cosmological model with a more general function and show that all NLED models can be expressed in this framework; then, we investigate in detail two interesting examples of the function . We present our phenomenological model based on a new Lagrangian for NLED. Solutions to the field equations with the physical properties of the cosmological parameters are obtained. We show that the early Universe had no Big-Bang singularity, which accelerated in the past. We also investigate the qualitative implications of NLED by studying the inflationary parameters, like the slow-roll parameters, spectral index 
, and tensor-to-scalar ratio r, and compare our results with observational data. Detailed phase-space analysis of our NLED cosmological model is performed with and without matter source. As a first approach, we consider the motion of a particle of unit mass in an effective potential. Our systems correspond to fast-slow systems for physical values of the electromagnetic field and the energy densities at the end of inflation. We analyze a complementary system using Hubble-normalized variables to investigate the cosmological evolution before the matter-dominated Universe.
© The Author(s) 2023
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