Correspondence between Electro-Magnetic Field and other Dark Energies in Non-linear Electrodynamics

TL;DR

This paper explores how non-linear electromagnetic fields in a flat FRW universe can generate dark energy and establishes correspondences with various dark energy models, reconstructing potentials and scalar fields.

Contribution

It introduces a non-linear electromagnetic framework for dark energy and investigates its relation to multiple dark energy candidates, including potential reconstruction.

Findings

Electromagnetic fields can generate dark energy under certain conditions.

Correspondences between electromagnetic fields and various dark energy models are established.

Potential functions and scalar fields are reconstructed in this context.

Abstract

In this work, we have considered the flat FRW model of the universe filled with electro-magnetic field. First, the Maxwell's electro-magnetic field in linear form has been discussed and after that the modified Lagrangian in non-linear form for accelerated universe has been considered. The corresponding energy density and pressure for non-linear electro-magnetic field have been calculated. We have found the condition such that the electro-magnetic field generates dark energy. The correspondence between the electro-magnetic field and the other dark energy candidates namely tachyonic field, DBI-essence, Chaplygin gas, hessence dark energy, k-essenece and dilaton dark energy have been investigated. We have also reconstructed the potential functions and the scalar fields in this scenario.