Study of Generalized Second Law of Thermodynamics in Loop Quantum Cosmology with the Effect of Non-Linear Electrodynamics

TL;DR

This paper investigates the validity of the generalized second law of thermodynamics in loop quantum cosmology considering non-linear electrodynamics effects in both magnetic and electric universes, analyzing interactions with matter.

Contribution

It introduces a detailed analysis of non-linear electrodynamics in loop quantum cosmology and examines thermodynamic laws on different horizons with specific interaction models.

Findings

Generalized second law holds on apparent horizons for both universes.

Law's validity varies on event horizons depending on the universe type.

Interaction models influence the thermodynamic behavior significantly.

Abstract

In this work, we have discussed the Maxwell's electrodynamics in non-linear forms in FRW universe. The energy density and pressure for non-linear electrodynamics have been written in the electro-magnetic universe. The Einstein's field equations for flat FRW model in loop quantum cosmology have been considered if the universe is filled with the matter and electro-magnetic field. We separately assumed the magnetic universe and electric universe. The interaction between matter and magnetic field have been considered in one section and for some particular form of interaction term, we have found the solutions of magnetic field and the energy density of matter. We have also considered the interaction between the matter and electric field and another form of interaction term has been chosen to solve the field equations. The validity of generalized second law of thermodynamics has been investigated on apparent and event horizons using Gibb's law and the first law of thermodynamics for magnetic and electric universe separately.