On spherically symmetric singularity-free models in relativistic cosmologyRAMESH TIKEKAR Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar 388 120, India Email: tikekar@spu.ernet.in Abstract. The introduction of time dependence through a scale factor in a non-conformally flat static cosmological model whose spacetime can be embedded in a five demensional flat spacetime is shown to give rise to two spherical models of universe filled with perfect fluid acompannied with radial heat flux without any Big Bang type singularity. The first model describes an ever existing universe which witnesses a transition from state of contraction to that of ever expansion. The second model represents a universe oscillating between two regular states. |