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General relativity; singularity-free models; exact solutions

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.

Naresh Dadhich¹ L K Patel^{1 2} R Tikekar^{1 3}

1. Inter University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, Pune - 411 007, India
2. Department of Mathematics, Gujarat University, Ahmedabad - 380 009, India
3. Department of Mathematics, Sardar Patel University, Vallabh-Vidyanagar - 358 120, India

Published

April 1995

Manuscript received

27 September 1994

Manuscript revised

21 January 1995