Cosmic strings with cosmological constant

Mathematics – Logic

Scientific paper

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Scientific paper

All static and cylindrically symmetric vacuum solutions of Einstein's field equation with cosmological constant Λ are found. We use these solutions to represent the exterior metric of a cosmic string. If Λ is negative, the exterior approaches the anti-de Sitter metric away from the string. If Λ is positive, the exterior metric is either an scrR 3scrS 1 universe with a curvature singularity, an scrR 2scrS 2 universe with a conical singularity, or an scrR 2scrS 2 universe with no singularity.

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