Phys. Rev. D 68, 101502(R) (2003) [5 pages]No-horizon theorem for vacuum gravity with spacelike G1 isometry groups
We show that 3+1 vacuum spacetimes admitting a global, spacelike, one-parameter Lie group of isometries of translational type cannot contain apparent horizons. The only assumption made is that of the existence of a global spacelike Killing vector field with infinite open orbits; the four-dimensional vacuum spacetime metric is otherwise arbitrary. This result may thus be viewed as a hoop conjecture theorem for vacuum gravity with one spacelike translational Killing symmetry. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.101502
DOI:
10.1103/PhysRevD.68.101502
PACS:
04.20.Dw, 04.20.Jb
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