Time-oriented null hypersurfaces in Lorentzian manifolds are one-way barriers for causal curves, enabling definitions of barriers and black regions that generalize smooth event horizons and black holes.
Carter,Global structure of the Kerr Family of Gravitational Fields, Phys
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Black holes and black regions, horizons and barriers in Lorentzian manifolds
Time-oriented null hypersurfaces in Lorentzian manifolds are one-way barriers for causal curves, enabling definitions of barriers and black regions that generalize smooth event horizons and black holes.