Cosmic strings in Bianchi II, VIII and IX spacetimes: integrable cases.

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Cosmic Strings: Space-Time

Scientific paper

The authors investigate the integrability of cosmic strings in Bianchi II, VIII and IX spacetimes using a Lie symmetry analysis. The behaviour of the gravitational field is governed by solutions of a single second order nonlinear differential equation. The authors 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 this class of solutions.

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