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Cosmic strings in Bianchi III spacetime: Integrable cases

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Abstract

We investigate the integrability of cosmic strings in Bianchi III spacetime using a symmetry analysis. The behaviour of the model is reduced to the solution of a single second order nonlinear differential equation. We show that this equation has a rich structure and admits an infinite family of solutions. Our class of solutions extends special cases previously obtained by Tikekar and Patel [Gen. Relativ. Gravit. 24, 397 (1992)].

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Author notes

  1. P G L Leach & K S Govinder

    Present address: Department of Mathematics, University of the Aegean, 83 200, Karlovassi, Greece

Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Natal, Private Bag X10, 4014, Dalbridge, South Africa

    S D Maharaj, P G L Leach & K S Govinder

  2. Visiting: Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, 411 007, Ganeshkhind, Pune, India

    S D Maharaj, P G L Leach & K S Govinder

Authors
  1. S D Maharaj
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  2. P G L Leach
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  3. K S Govinder
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Maharaj, S.D., Leach, P.G.L. & Govinder, K.S. Cosmic strings in Bianchi III spacetime: Integrable cases. Pramana - J. Phys. 44, 511–518 (1995). https://doi.org/10.1007/BF02878862

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  • DOI: https://doi.org/10.1007/BF02878862

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