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ISRN Astronomy and Astrophysics
Volume 2011 (2011), Article ID 565842, 3 pages
http://dx.doi.org/10.5402/2011/565842
Research Article

LRS Bianchi Type II Inflationary Universe with Massless Scalar Field

Department of Mathematics, University of Rajasthan, Jaipur 302004, India

Received 5 September 2011; Accepted 16 October 2011

Academic Editor: P. A. Hughes

Copyright © 2011 Raj Bali and Laxmi Poonia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Inflationary scenario in locally rotationally symmetric (LRS) Bianchi Type II space-time with massless scalar field with flat potential is discussed. To get the deterministic solution in terms of cosmic time 𝑑 , we have assumed that the scale factor ∼ 𝑒 3 𝐻 𝑑 , that is, 𝑅 2 𝑆 ∼ 𝑒 3 𝐻 𝑑 and 𝑉 ( πœ™ )  = constant where 𝑉 is effective potential and πœ™ is Higg's field. We find that spatial volume increases with time and the model isotropizes for large value of 𝑑 under special condition. The Higg's field decreases slowly and tends to a constant value when 𝑑 β†’ ∞ . The model represents uniform expansion but accelerating universe and leads to de-Sitter type metric.