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Letter: Global Hyperbolicity of Sliced Spaces

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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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REFERENCES

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Authors and Affiliations

  1. Department of Information and Communication Systems Engineering (D.I.C.S.E.), University of the Aegean, Karlovassi, 83200, Samos, Greece

    Spiros Cotsakis

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  1. Spiros Cotsakis
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Cotsakis, S. Letter: Global Hyperbolicity of Sliced Spaces. General Relativity and Gravitation 36, 1183–1188 (2004). https://doi.org/10.1023/B:GERG.0000018284.43552.2f

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  • DOI: https://doi.org/10.1023/B:GERG.0000018284.43552.2f

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