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Lightlike hypersurfaces of Lorentzian manifolds with distinguished screen. (English) Zbl 1111.53029
Summary: We first study the properties of the light-like mean curvature on a light-like hypersurface in a Lorentzian manifold. Then, we show the existence of a large class of light-like hypersurfaces admitting a distinguished screen and study some of their properties. In particular, we find integrability conditions for distinguished screen distributions and give applications in a space-time which obeys the null energy condition.

MSC:
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
83C40 Gravitational energy and conservation laws; groups of motions
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