Oscillating non-singular relativistic spherical model

Abstract

A particular choice of the time function in the recently presented spherical solution by Dadhich leads to a singularity free cosmological model which oscillates between two regular states. The energy-stress tensor involves anisotropic pressure and a heat flux term but is consistent with the usual energy conditions (strong, weak and dominant). By choosing the parameters suitably one can make the model consistent with observational data. An interesting feature of the model is that it involves blue shifts as in the quasi steady state model but without violating general relativity.