Nonlinear Electrodynamics in $f(T)$ Gravity and Generalized Second Law of Thermodynamics

TL;DR

This paper explores nonlinear electrodynamics within $f(T)$ gravity to model the universe's accelerated expansion and tests the generalized second law of thermodynamics across different cosmological horizons and scale factors.

Contribution

It introduces specific $f(T)$ models with pole-like and power-law scale factors and analyzes their thermodynamic and cosmological implications.

Findings

Accelerated expansion confirmed through cosmological parameters.

Generalized second law holds for all redshifts with event horizon in power-law models.

Law holds within specific redshift ranges for Hubble horizon in certain models.

Abstract

In this paper, we study the nonlinear electrodynamics in the framework of $f(T)$ gravity for FRW universe along with dust matter, magnetic and torsion contributions. We evaluate the equation of state and deceleration parameters to explore the accelerated expansion of the universe. The validity of generalized second law of thermodynamics for Hubble and event horizons is also investigated in this scenario. For this purpose, we assume pole-like and power-law forms of scale factor and construct $f(T)$ models. The graphical behavior of the cosmological parameters versus smaller values of redshift $z$ represent the accelerated expansion of the universe. It turns out that the generalized second law of thermodynamics holds for all values of $z$ with event horizon for power-law scale factor whereas it holds in a specific range of $z$ with Hubble horizon for power-law and both horizons in pole-like scale factors.