Global Hyperbolicity of Sliced Spaces

Details Global Hyperbolicity of Sliced Spaces Global Hyperbolicity of Sliced Spaces

2003-09-09

arxiv.org/abs/gr-qc/0309048v1

Gen.Rel.Grav. 36 (2004) 1183-1188

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages

Scientific paper

10.1023/B:GERG.0000018284.43552.

We show that for generic sliced spacetimes global hyperbolicity is equivalent
to space completeness under the assumption that the lapse, shift and spatial
metric are uniformly bounded. This leads us to the conclusion that simple
sliced spaces are timelike and null geodesically complete if and only if space
is a complete Riemannian manifold.

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