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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, withρµp 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

       
  • Pramana – Journal of Physics | News

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