Abstract
We consider here the metric for the singularity-free family of fluid models. The metric is unique for cylindrically symmetric space-time with metric potentials being separable functions of radial and time coordinates in the comoving coordinates. It turns out that fluid models separate out into two classes, withρ ≠µp in general butρ = 3p in particular andp =ρ. It is shown that in both the cases radial 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. Several previously known solutions are derived as particular cases.
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Dadhich, N., Patel, L.K. & Tikekar, R. On singularity-free spacetimes. Pramana - J. Phys. 44, 303–316 (1995). https://doi.org/10.1007/BF02847607
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DOI: https://doi.org/10.1007/BF02847607