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- W2052655360 abstract "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." @default.
- W2052655360 created "2016-06-24" @default.
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- W2052655360 date "2003-11-24" @default.
- W2052655360 modified "2023-09-27" @default.
- W2052655360 title "No-horizon theorem for vacuum gravity with spacelikeG1isometry groups" @default.
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- W2052655360 doi "https://doi.org/10.1103/physrevd.68.101502" @default.
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