ON SINGULARITY-FREE SPACETIMES

We consider here the metric for the singularity-free family of fluid m odels. The metric is unique for cylindrically symmetric space-time wit h metric potentials being separable functions of radial and time coord inates in the comoving coordinates. It turns out that fluid models sep arate out into two classes, with rho not equal mu p in general but rho = 3p in particular and p = rho. It is shown that in both the cases ra dial heat flow can be incorporated without disturbing the singularity- free character of the spacetime. The geodesics of the singularity-free metric are studied and the geodesic completeness is established. Seve ral previously known solutions are derived as particular cases.