On the topology of stable causality
Copyright policy )On the topology of stable causality
According to the authors a subset A of a space-time is called C-convex iff every causal curve between points of A lies entirely in A. Similarly the notion of stable C-convexity is introduced. They characterize the property of a space-time to be (locally or globally) strongly causal or stably causal in terms of these sets. Furthermore the topologies generated by C-convex resp. stably C-convex sets are shown to be \(T^ 1\) iff they are discrete.
- Complutense University of Madrid Spain
- Polytechnic University of Puerto Rico Miami United States
- Universidad Politécnica de Madrid Spain
causality conditions, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, C-convex sets, strongly causal, Applications of global differential geometry to the sciences, stably causal
causality conditions, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, C-convex sets, strongly causal, Applications of global differential geometry to the sciences, stably causal
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