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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/068/03/0397-0406

    • Keywords

       

      Relativistic stellar models; superdense stars; strange stars; equation of state; general relativity.

    • Abstract

       

      The superdense stars with mass-to-size ratio exceeding 0.3 are expected to be made of strange matter. Assuming that the 3-space of the interior space-time of a strange star is that of a three-paraboloid immersed in a four-dimensional Euclidean space, we obtain a two-parameter family of their physically viable relativistic models. This ansatz determines density distribution of the interior self-gravitating matter up to one unknown parameter. The Einstein's field equations determine the fluid pressure and the remaining geometrical variables. The information about mass-to-size ratio together with the conventional boundary conditions lead to the determination of total mass, radius and other parameters of the stellar configuration.

    • Author Affiliations

       

      Ramesh Tikekar1 2 Kanti Jotania1 3

      1. Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Pune 411 007, India
      2. Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar 388 120, India
      3. Department of Physics, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara 390 002, India

    • Dates

       
      Published
      March 2007
      Manuscript received
      10 June 2006
      Manuscript revised
      30 October 2006
      Accepted
      6 November 2006

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