Global structure of Gott's two-string spacetime

Details Global structure of Gott's two-string spacetime Global structure of Gott's two-string spacetime

Jan 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..45..487c&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 45, Issue 2, 15 January 1992, pp.487-494

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41

Exact Solutions, Relativity And Gravitation, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

Gott has recently obtained exact solutions to Einstein's equation representing two infinitely long, straight cosmic strings that gravitationally scatter off each other. A remarkable feature of these solutions is that they contain closed timelike curves when the relative velocity of the strings is sufficiently high. In this paper we elucidate the global structure of Gott's two-string spacetime. In particular, we prove that the closed timelike curves are confined to a certain region of the spacetime, and that the spacetime contains complete spacelike, edgeless, achronal hypersurfaces, from which the causality-violating regions may be said to evolve. We then explicitly determine the boundary of the region containing closed timelike curves.

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