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

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.

arXiv comment21 pages, 10 figures

References in corpus (27)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• f(R) theories
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• A Model of Holographic Dark Energy
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Accelerating universe from F(T) gravity
• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Observational constraints on $f(T)$ theory
• Non trivial frames for f(T) theories of gravity and beyond
• FRW Cosmology in F(R,T) gravity
• New types of $f(T)$ gravity
• F(T) Models within Bianchi Type I Universe
• Generalized second law of thermodynamics in Gauss-Bonnet braneworld
• Cosmological Effects of Nonlinear Electrodynamics
• Generalized Second Law of Thermodynamics in $f(T)$ Gravity with Entropy Corrections
• Pure kinetic k-essence as the cosmic speed-up
• Reconstruction of f(T) gravity from the Holographic dark energy
• Constraining $f(T)$ Theories with the Varying Gravitational Constant
• Phantom phase power-law solution in $f(G)$ gravity
• Fractional Action Cosmology: Emergent, Logamediate, Intermediate, Power law Scenarios of the Universe and Generalized Second Law of Thermodynamics
• Power-law solutions in $f(T)$ gravity
• The generalized second law of gravitational thermodynamics on the apparent horizon in f(R)-gravity
• Teleparallel Versions of Friedmann and Lewis-Papapetrou Spacetimes
• Teleparallel Version of the Stationary Axisymmetric Solutions and their Energy Contents
• A Study of Generalized Second Law of Thermodynamics in Magnetic Universe in the light of Non-Linear Electrodynamics

Cited by in corpus (9)

• f(T) teleparallel gravity and cosmology
• The Spherically Symmetric Vacuum in Covariant $F(T)=T+\frac{\alpha }{2}{T}^2+\mathcal{O}(T^{\gamma })$ Gravity Theory
• Teleparallel dark energy model with a fermionic field via Noether symmetry
• Analysis of Generalized Ghost Version of Pilgrim Dark Energy
• Analysis of Generalized Ghost Pilgrim Dark Energy in Non-flat FRW Universe
• On spherically symmetric vacuum solutions and horizons in covariant $f(T)$ gravity theory
• Ghost Dark Energy Model in f(G) Gravity
• Generalized Ghost Dark Energy in DGP Model
• Structure and thermodynamics of charged nonrotating black holes in higher dimensions