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International Journal of Theoretical Physics

, Volume 50, Issue 1, pp 296–307 | Cite as

LRS Bianchi Type II Perfect Fluid Cosmological Models in Normal Gauge for Lyra’s Manifold

  • Shilpi Agarwal
  • R. K. Pandey
  • Anirudh Pradhan
Article

Abstract

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.

Keywords

Cosmology LRS Bianchi type II models Lyra’s manifold 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Shilpi Agarwal
    • 1
  • R. K. Pandey
    • 2
  • Anirudh Pradhan
    • 3
  1. 1.Department of MathematicsUttaranchal Institute of TechnologyDehradunIndia
  2. 2.Department of MathematicsD.B.S. Post-graduate CollegeDehradunIndia
  3. 3.Department of MathematicsHindu Post-graduate CollegeZamaniaIndia

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