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AdAp > Volume 2, Number 2, May 2017

Bianchi Type VI0 Inflationary Universe with Constant Deceleration Parameter and Flat Potential in General Relativity

Download PDF  (270.1 KB)PP. 67-72,  Pub. Date:May 10, 2017
DOI: 10.22606/adap.2017.22001

Raj Bali, Parmit Kumari
Department of Mathematics, University of Rajasthan, Jaipur-302004, India; Department of Mathematics, University of Rajasthan, Jaipur-302004, India
Inflationary universe scenario with constant deceleration parameter in the presence of massless scalar field and flat potential taking Bianchi Type VI0 space time as a source is discussed. We find that the rate of expansion slows down with increase of time. It is also observed that the ratio of shear and expansion is non-zero for all values of T where at + b = T, t being cosmic time, a and b being constants. Thus the universe remains anisotropic throughout the evolution. The Higgs field is constant for large values of T when α < 2 and the Higgs field evolves slowly but the universe expands for α > 2 where α is a constant. It may be positive and negative both. The model represents decelerating and accelerating phases of universe and has Point Type singularity at T=0 (MacCallum [25]). In special case i.e. if N=0 and α > 0 then the model isotropizes at late time, N being constant of integration.
Bianchi VI0, Inflationary, deceleration parameter, flat potential
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