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      https://www.ias.ac.in/article/fulltext/pram/046/05/0331-0339

    • Keywords

       

      Cosmology; strings; integrable

    • Abstract

       

      We investigate the integrability of cosmic strings in Bianchi II, VIII and IX space-times using a Lie symmetry analysis. The behaviour of the gravitational field is governed by solutions of a single second order nonlinear differential equation. We demonstrate that this equation is integrable and admits an infinite family of physically reasonable solutions. Particular solutions obtained by other authors are shown to be special cases of our class of solutions.

    • Author Affiliations

       

      L K Patel1 2 S D Maharaj1 P G L Leach1

      1. Department of Mathematics and Applied Mathematics, University of Natal, Private Bag X10, Dalbridge - 4014, South Africa
      2. Department of Mathematics, Gujarat University, Ahmedabad - 380 009, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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