Mathematics – Logic
Scientific paper
Jun 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..33.3549t&link_type=abstract
Physical Review D (Particles and Fields), Volume 33, Issue 12, 15 June 1986, pp.3549-3555
Mathematics
Logic
29
Exact Solutions
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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