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International Journal of Theoretical Physics

, Volume 52, Issue 10, pp 3442–3456 | Cite as

Bianchi Type-III Cosmological Models with Anisotropic Dark Energy (DE) in Lyra Geometry

  • G. C. Samanta
Article

Abstract

The main purpose of this paper is to explore the solutions of Bianchi type-III cosmological model in Lyra geometry in the background of anisotropic dark energy. The general form of the anisotropy parameter of the expansion for Bianchi type-III space time is obtained in the presence of a single imperfect fluid with a dynamical anisotropic equation of state parameter and a dynamical energy density in Lyra geometry. A special law is assumed for the anisotropy of the fluid with reduces the anisotropy parameter of the expansion to a simple form \(\Delta \propto \frac{1}{H^{2}V^{2}}\). The exact solutions of the field equations, under the assumption on the anisotropy of the fluid, are obtained for exponential and power law volumetric expansion. The isotropy of the fluid, space and expansion are discussed. It is observed that the universe can approach to isotropy monotonically even in the presence of an anisotropic fluid. The anisotropy of the fluid also isotropizes at later times for accelerating models. The expression for the look-back time, proper distance, luminosity distance and angular diameter distance are also derived.

Keywords

Anisotropic fluid Dark energy (DE) Bianchi type-III Lyra geometry 

Notes

Acknowledgements

The author is very much thank full to anonymous referees for their valuable comments which has improved the quality of work.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of Mathematics, Birla Institute of Technology and Science (BITS) PilaniK K BirlaZuarinagarIndia

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