Cosmic strings in Bianchi III spacetime: integrable cases.

Physics

Scientific paper

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Cosmic Strings: Space-Time

Scientific paper

The authors 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. It is shown that this equation has a rich structure and admits an infinite family of solutions. The authors' class of solutions extends special cases previously obtained by Tikekar and Patel.

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