A study of generalized second law of thermodynamics in magnetic universe in the light of non-linear electrodynamics

Bandyopadhyay, Tanwi; Debnath, Ujjal

doi:10.1016/j.physletb.2011.08.076

Cited by 21 publications

(10 citation statements)

References 40 publications

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“…. When n = 2 (i.e., for 4D), we can recover the result of Ref Bandyopadhyay et al (2011) (i.e., B ∝ a −2 ) and also when δ = 0, n = 2 and we drop the matter density term (i.e., ρ m = 0), then we can verify the result of Ref. Camara et al (2004) forΛ = 0.…”

supporting

confidence: 86%

Observational study of higher dimensional magnetic universe in non-linear electrodynamics

Ranjit¹,

Chakraborty²,

Debnath

2013

Astrophys Space Sci

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In this work, we have considered the flat FRW model of the universe in (n + 2)dimensions filled with the dark matter and the magnetic field. We present the Hubble parameter in terms of the observable parameters Ω m0 and H 0 with the redshift z and the other parameters like B 0 , ω, µ 0 , δ, n, w m . The natures of magnetic field B, deceleration parameter q and Om diagnostic have also been analyzed for accelerating expansion of the universe. From Stern data set (12 points), we have obtained the bounds of the arbitrary parameters by minimizing the χ 2 test. The best-fit values of the parameters are obtained by 66%, 90% and 99% confidence levels. Now to find the bounds of the parameters (B 0 , ω) and to draw the statistical confidence contour, we fixed four parameters µ 0 , δ, n, w m . Here the parameter n determines the higher dimensions and we perform comparative study between three cases : 4D (n = 2), 5D (n = 3) and 6D (n = 4) respectively. Next due to joint analysis with BAO observation, we have also obtained the bounds of the parameters (B 0 , ω) by fixing other parameters µ 0 , δ, n, w m for 4D, 5D and 6D. The best fit of distance modulus for our theoretical model and the Supernova Type Ia Union2 sample are drawn for different dimensions.

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confidence: 86%

Observational study of higher dimensional magnetic universe in non-linear electrodynamics

Ranjit¹,

Chakraborty²,

Debnath

2013

Astrophys Space Sci

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“…We do not consider the term F F * involving F * in order to preserve the parity [25,26]. The linear term of this Lagrangian dominates during a radiation dominated era, while the quadratic terms dominate in the early universe, which corresponds to the bouncing behavior of the universe to avoid initial singularity [27].…”

Section: Nonlinear Electrodynamics and General Equationsmentioning

confidence: 99%

“…In order to fulfill the requirement of isotropic and homogeneous universe, i.e., the electromagnetic field to act as its source, the energy density and the pressure corresponding to the electromagnetic field can be computed by averaging over volume [26,28]. It is assumed that the electric and magnetic fields have coherent lengths that are much shorter than the cosmological horizon scales.…”

Section: Nonlinear Electrodynamics and General Equationsmentioning

confidence: 99%

“…where µ 0 denotes magnetic permeability, α, β > 0 are arbitrary constants which yield linear density for α, β → 0 and F * µν is the dual of electromagnetic field tensor. We do not consider the term F F * involving F * in order to preserve the parity [20,21]. The linear term of this Lagrangian dominates during radiation dominated era while the quadratic terms dominate in the early universe that corresponds to the bouncing behavior of the universe to avoid initial singularity [22].…”

Section: Nonlinear Electrodynamics and General Equationsmentioning

confidence: 99%

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Stability of the accelerated expansion in nonlinear electrodynamics

Sharif

Mumtaz

2017

Eur. Phys. J. C

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This paper is devoted to the phase space analysis of an isotropic and homogeneous model of the universe by taking a noninteracting mixture of the electromagnetic and viscous radiating fluids whose viscous pressure satisfies a nonlinear version of the Israel-Stewart transport equation. We establish an autonomous system of equations by introducing normalized dimensionless variables. In order to analyze the stability of the system, we find corresponding critical points for different values of the parameters. We also evaluate the power-law scale factor whose behavior indicates different phases of the universe in this model. It is concluded that the bulk viscosity as well as electromagnetic field enhances the stability of the accelerated expansion of the isotropic and homogeneous model of the universe.

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“…Nashed (2011) constructed regular charged spherically symmetric solutions with NLED coupled to teleparallel theory of gravity. Bandyopadhyay and Debnath (2011) considered a universe with magnetic field and matter in NLED and checked the validity of GSLT for magnetic universe bounded by Hubble, apparent, particle and event horizons. They concluded that the GSLT violates initially but holds for later times.…”

Section: Introductionmentioning

confidence: 99%

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

Sharif,

Rani

2014

Preprint

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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 polelike 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 polelike scale factors.

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A study of generalized second law of thermodynamics in magnetic universe in the light of non-linear electrodynamics

Cited by 21 publications

References 40 publications

Observational study of higher dimensional magnetic universe in non-linear electrodynamics

Observational study of higher dimensional magnetic universe in non-linear electrodynamics

Stability of the accelerated expansion in nonlinear electrodynamics

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

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