Cosmic strings in Bianchi III spacetime: Integrable cases
S D Maharaj P G L Leach K S Govinder
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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 Maharaj1 2 P G L Leach1 2 3 K S Govinder1 2 3
Volume 96, 2022
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