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Global hyperbolicity and completeness |
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| Authors: | Yvonne Choquet-Bruhat Spiros Cotsakis |
| Institution: | a University of Paris VI, L.P.T.L. Tour 22-12, 4 Place Jussieu, 75252, Paris, France b GEODYSYC, Department of Mathematics, University of the Aegean, Karlovassi 83 200, Samos, Greece |
| Abstract: | We prove global hyperbolicity of spacetimes under generic regularity conditions on the metric. We then show that these spacetimes are timelike and null geodesically complete if the gradient of the lapse and the extrinsic curvature K are integrable. This last condition is required only for the tracefree part of K if the universe is expanding. |
| Keywords: | Global hyperbolicity Completeness General relativity |
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