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Cosmology; strings; integrable

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)].

S D Maharaj^{1 2} P G L Leach^{1 2 3} K S Govinder^{1 2 3}

1. Department of Mathematics and Applied Mathematics, University of Natal, Private Bag X10, Dalbridge - 4014, South Africa
2. Visiting: Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, Pune - 411 007, India
3. Department of Mathematics, University of the Aegean, Karlovassi - 83 200, Greece

Published

June 1995

Manuscript received

28 February 1995