K-causality coincides with stable causality

Abstract

It is proven that K-causality coincides with stable causality, and that in a K-causal spacetime the relation K^+ coincides with the Seifert's relation. As a consequence the causal relation "the spacetime is strongly causal and the closure of the causal relation is transitive" stays between stable causality and causal continuity.

11 pages, 2 figures

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• A gravitational collapse singularity theorem consistent with black hole evaporation
• Causality theory of spacetimes with continuous Lorentzian metrics revisited
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• Manifold-Topology from K-Causal Order
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• Causal Cones, Cone Preserving Transformations and Causal Structure in Special and General Theory of Relativity
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