• A generalized kerr-schild metric

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      https://www.ias.ac.in/article/fulltext/pram/003/01/0028-0034

    • Keywords

       

      Kerr-Schild metric; relativity, general

    • Abstract

       

      A metricgik=ηik+iξk+2(iPk) is investigated. WhenJ=0 this reduces to the well-known Kerr metric. Conditions on the vectorpi are obtained under which a geodetic, shear-free null congruenceξi in the Minkowskian space-time (with metricηik) will continue to remain geodetic and shear-free in the Riemannian space-time ofgik. A general solution of Einstein’s equationRik=σξiξk is obtained whenpiξi=0 andξi is twist-free.

    • Author Affiliations

       

      P C Vaidya1 P V Bhatt1

      1. Department of Mathematics, Gujarat University, Ahmedabad - 380009
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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