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• W2557563165 abstract "Global hyperbolicity is the most important condition on causal structure space-time, which is involved in problems as cosmic censorship, predictability etc. An open set O is said to be globally hyperbolic if, i) for every pair of points x and y in O the intersection of the future of x and the past of y has compact closure i.e., a space-time is said to be globally hyperbolic if the sets are compact for all (i.e., no naked singularity can exist in space-time topology), and ii) strong causality holds on O i.e., there are no closed or almost closed time like curves contained in O. Here is causal future and is the causal past of an event x. If a space-time is timelike or null geodesically incomplete but cannot be embedded in a larger space-time then we say that it has a singularity. An attempt is taken here to discuss global hyperbolicity and space-time singularity by introducing definitions, propositions and displaying diagrams appropriately." @default.
• W2557563165 created "2016-12-08" @default.
• W2557563165 creator A5059285631 @default.
• W2557563165 date "2016-02-10" @default.
• W2557563165 modified "2023-09-27" @default.
• W2557563165 title "Global Hyperbolicity in Space-Time Manifold" @default.
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• W2557563165 hasPublicationYear "2016" @default.
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