• Initial-value problems and singularities in general relativity

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      https://www.ias.ac.in/article/fulltext/pram/009/03/0229-0238

    • Keywords

       

      Cauchy problem; problem of singularities; Penrose’s theorem; general relativity

    • Abstract

       

      Linearized solution of Datta in a non-symmetric and isentropic motion of a perfect fluid is studied by dealing with a Cauchy problem in co-moving coordinates in the framework of general relativity. The problem of singularities is discussed from the standpoint of a local observer both for rotating and non-rotating fluids. It is shown that, whatever the distribution of matter, a singularity which occurred in the past in both the rotating and non-rotating parts of the universe must occur again later after some finite proper time, if the universe is closed. A modification is incorporated in Penrose’s theorem by explicitly exhibiting that the universe defined by Penrose can possess a Cauchy hypersurface.

    • Author Affiliations

       

      Bidyut Kumar Datta1

      1. S N Bose Institute of Physical Sciences, Calcutta University, Calcutta - 700 009
    • Dates

       
  • Pramana – Journal of Physics | News

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