Advances in Mathematical Physics
Volume 2013 (2013), Article ID 416294, 5 pages
Research Article

Anisotropic Bianchi Type-III Bulk Viscous Fluid Universe in Lyra Geometry

Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, Uttar Pradesh 221 005, India

Received 22 December 2012; Accepted 10 February 2013

Academic Editor: Shao-Ming Fei

Copyright © 2013 Priyanka Kumari et al. 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.


An anisotropic Bianchi type-III cosmological model is investigated in the presence of a bulk viscous fluid within the framework of Lyra geometry with time-dependent displacement vector. It is shown that the field equations are solvable for any arbitrary function of a scale factor. To get the deterministic model of the universe, we have assumed that (i) a simple power-law form of a scale factor and (ii) the bulk viscosity coefficient are proportional to the energy density of the matter. The exact solutions of the Einstein’s field equations are obtained which represent an expanding, shearing, and decelerating model of the universe. Some physical and kinematical behaviors of the cosmological model are briefly discussed.