• Isothermal fluid sphere: Uniqueness and conformal mapping

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      https://www.ias.ac.in/article/fulltext/pram/049/04/0417-0420

    • Keywords

       

      Fluid spheres; isothermal fluid; conformal mapping

    • Abstract

       

      We prove the theorem: A necessary and sufficient condition for a spacetime to represent an isothermal fluid sphere (linear equation of state with density falling off as inverse square of the curvature radius) without boundary is that it is conformal to a spacetime of zero gravitational mass (‘minimally’ curved).

    • Author Affiliations

       

      Naresh Dadhich1

      1. Inter-University Centre for Astronomy and Astrophysics, P.O. Box 4, Pune - 411 007, India
    • Dates

       
  • Pramana – Journal of Physics | News

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