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    • Exact anisotropic sphere with polytropic equation of state

      S Thirukkanesh F C Ragel

      Research Articles Volume 78 Issue 5 May 2012 pp 687-696

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/078/05/0687-0696

    • Keywords

       

      Einstein field equations; anisotropic matter; polytropic equation of state; relativistic star.

    • Abstract

       

      We study static spherically symmetric spacetime to describe compact objects with anisotropic matter distribution. We express the system of Einstein field equations as a new system of differential equations using a coordinate transformation, and then write the system in another form with polytropic equation of state and obtain two classes of exact models. The models satisfy all major physical features expected in a realistic star. For polytropic index $n = 2$, we obtain expressions for mass and density which are comparable with the reported experimental observations.

    • Author Affiliations

       

      S Thirukkanesh1 F C Ragel2

      1. Department of Mathematics, Eastern University, Chenkalady, Sri Lanka
      2. Department of Physics, Eastern University, Chenkalady, Sri Lanka

    • Dates

       
      Published
      May 2012
      Manuscript received
      9 November 2011
      Accepted
      8 December 2011

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