Eur. Phys. J. Plus (2016) 131: 447
https://doi.org/10.1140/epjp/i2016-16447-1

Regular Article

Behaviour of the cosmological model with variable deceleration parameter

¹ Department of Mathematics, Govt. Model Science College Rewa, 486001 (M.P.), Rewa, India
² Department of Mathematical Sciences, University of Zululand, 3886, Mangeze, South Africa

^* e-mail: rishitiwari59@rediffmail.com

Received: 29 October 2016
Accepted: 17 November 2016
Published online: 29 December 2016

Abstract

We consider the Bianchi type-VI₀ massive string universe with decaying cosmological constant . To solve Einstein's field equations, we assume that the shear scalar is proportional to the expansion scalar and that the deceleration parameter q is a linear function of the Hubble parameter H, i.e., , which yields the scale factor . The model expands exponentially with cosmic time t. The value of the cosmological constant is small and positive. Also, we discuss physical parameters as well as the jerk parameter j, which predict that the universe in this model originates as in the CDM model.