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Global Hyperbolicity of Sliced Spaces

Spiros Cotsakis
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Abstract

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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Spiros Cotsakis. 2003-09-09. Global Hyperbolicity of Sliced Spaces. https://doi.org/10.1023/b%3Agerg.0000018284.43552.2f

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