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Phys. Rev. Lett. 66, 1126–1129 (1991)

Closed timelike curves produced by pairs of moving cosmic strings: Exact solutions

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J. Richard Gott, III
Department of Astrophysical Sciences, Princeton University Princeton, New Jersey 08544

Received 18 October 1990; published in the issue dated 4 March 1991

Exact solutions of Einstein’s field equations are presented for the general case of two moving straight cosmic strings that do not intersect. The solutions for parallel cosmic strings moving in opposite directions, each with γs>(sin4πμ)-1 in the laboratory frame show closed timelike curves (CTC’s) that circle the two strings as they pass, allowing observers to visit their own past. Similar results occur for nonparallel strings, and for masses in (2+1)-dimensional spacetime. For finite string loops the possibility that black-hole formation may prevent the formation of CTC’s is discussed.

© 1991 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.66.1126
DOI:
10.1103/PhysRevLett.66.1126
PACS:
04.20.Jb, 95.30.Sf, 98.80.Cq