No-horizon theorem for vacuum gravity with spacelike G1 isometry groups

Details No-horizon theorem for vacuum gravity with spacelike G1 isometry groups No-horizon theorem for vacuum gravity with spacelike G1 isometry groups

2003-12-30

arxiv.org/abs/gr-qc/0312121v1

Phys.Rev. D68 (2003) 101502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, revtex4; published in Phys. Rev. D Rapid Comm

Scientific paper

10.1103/PhysRevD.68.101502

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.

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