Bianchi Type-IX Magnetized Dark Energy Model in Saez-Ballester Theory of Gravitation

H R Ghate,Atish S Sontakke

doi:10.4236/ijaa.2014.41017

Abstract

The Bianchi type-IX cosmological model with variable ω has been studied in the scalar tensor theory of gravitation proposed by Saez and Ballester [Phys. Lett. A 113: 467, 1985] in the presence and absence of magnetic field of energy densityρb. A special law of variation of Hubble’s parameter proposed by Berman [Nuovo Cimento 74 B, 182, 1983] has been used to solve the field equations. The physical and kinematical properties of the model are also discussed.

Highlights

The recent observations of luminosity of type Ia Supernovae (SNe Ia) [1]-[8] indicate that the universe is currently undergoing an accelerated expansion
We have studied the solutions of Bianchi type-IX universe with variable ω in Saez-Ballester theory of gravitation in the presence and absence of magnetic field of energy density ρb together with constant deceleration parameter
It is observed that the Hubble parameter ( H ), expansion scalar (θ ), mean anisotropic parameter of the expansion (∆), shear scalar (σ ), magnetized dark energy (DE) density and energy density ( ρ ) are decreasing functions of time and approaches to 0 as t → ∞

Summary

Introduction

The recent observations of luminosity of type Ia Supernovae (SNe Ia) [1]-[8] indicate that the universe is currently undergoing an accelerated expansion. Adhav et al [39] have investigated Bianchi type-III model with DE from a wet dark fluid [WDF] in presence and absence of magnetic field in general theory of relativity. Rao et al [47] have obtained Bianchi type-II, VIII and IX DE cosmological models in Saez-Ballester theory of gravitation. Ghate and Sontakke [48]-[50] have studied Bianchi type-IX cosmological model with anisotropic DE in Lyra geometry, model with binary mixture of perfect fluid and dark energy and DE model in a Brans-Dicke theory of gravitation repectively. We have studied the solutions of Bianchi type-IX universe with variable ω in Saez-Ballester theory of gravitation in the presence and absence of magnetic field of energy density ρb together with constant deceleration parameter.

Field Equations

Solution of the Field Equations

B3ek1t φ0

Conclusion