Physics
Scientific paper
Jan 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ijtp...50..296a&link_type=abstract
International Journal of Theoretical Physics, Volume 50, Issue 1, pp.296-307
Physics
2
Cosmology, Lrs Bianchi Type Ii Models, Lyra'S Manifold
Scientific paper
The present study deals with spatially homogeneous and locally rotationally symmetric (LRS) Bianchi type II cosmological models of perfect fluid distribution of matter for the field equations in normal gauge for Lyra's manifold where gauge function β is taken as time dependent. To get the deterministic models of the universe, we assume that the expansion ( θ) in the model is proportional to the shear ( σ). This leads to condition R= mS n , where R and S are metric potentials, m and n are constants. We have obtained two types of models of the universe for two different values of n. It has been found that the displacement vector β behaves like cosmological term Λ in the normal gauge treatment and the solutions are consistent with recent observations. Some physical and geometric behavior of these models are also discussed.
Agarwal Shilpi
Pandey Rajesh K.
Pradhan Anirudh
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