Phys. Rev. D 58, 127501 (1998) [2 pages]Rigid singularity theorem in globally hyperbolic spacetimesReceived 22 May 1997; revised 5 January 1998; published 13 November 1998 We show the rigid singularity theorem, that is, a globally hyperbolic spacetime satisfying the strong energy condition and containing future or past trapped sets, either is timelike geodesically incomplete or splits isometrically as space×time.This result is related to Yau’s Lorentzian splitting conjecture. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.58.127501
DOI:
10.1103/PhysRevD.58.127501
PACS:
04.20.Dw, 04.20.Gz
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