Global hyperbolicity and completeness
作者： Spiros Cotsakis , Yvonne Choquet-Bruhat
DOI: 10.1016/S0393-0440(02)00028-1
关键词: Mathematics 、 Metric (mathematics) 、 Curvature 、 Completeness (order theory) 、 Integrable system 、 General relativity 、 Null (mathematics) 、 Differential geometry 、 Pure mathematics 、 Mathematical analysis
摘要: We prove global hyperbolicity of spacetimes under generic regularity conditions on the metric. then show that these are timelike and null geodesically complete if gradient lapse extrinsic curvature K integrable. This last condition is required only for tracefree part universe expanding.
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