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      https://www.ias.ac.in/article/fulltext/pram/044/04/0303-0316

    • Keywords

       

      General relativity; singularity-free models; exact solutions

    • 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.

    • Author Affiliations

       

      Naresh Dadhich1 L K Patel1 2 R Tikekar1 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

    • Dates

       
      Published
      April 1995
      Manuscript received
      27 September 1994
      Manuscript revised
      21 January 1995

  • Pramana – Journal of Physics | News

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