Advances in Astrophysics

AdAp
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Volume 2, Number 2, May 2017

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

10.22606/adap.2017.22001
**Author(s)**
Raj Bali, Parmit Kumari

**Affiliation(s)**
Department of Mathematics, University of Rajasthan, Jaipur-302004, India; Department of Mathematics, University of Rajasthan, Jaipur-302004, India

**Abstract**
Inflationary universe scenario with constant deceleration parameter in the presence of
massless scalar field and flat potential taking Bianchi Type VI

_{0} 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.

**Keywords**
Bianchi VI

_{0}, Inflationary, deceleration parameter, flat potential

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