Five-Dimensional Spherically Symmetric Perfect Fluid Cosmological Models in Lyra Manifolds

Abstract

The main aim of this paper is to obtain five-dimensional spherically symmetric models in the presence of perfect fluid source in the gravitational theory in the frame work of Lyra (Math. Z., 54: 52, 1951) manifold. Solving the gravitational field equations using a relation between metric potentials and a power law between the displacement vector of the manifold and the average scale factor we have presented an exact solution of the field equations. It is interesting to observe that our solution represents a stiff fluid or Zeldovich fluid model in five dimensional Lyra manifold. We have also determined the kinematical and physical parameters of the model and discussed their physical behavior in cosmology.