 Global Hyperbolicity in Space-Time ManifoldMPRA Paper from University Library of Munich, Germany 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. Keywords: Cauchy surface; causality; global hyperbolicity; space-time manifold; space-time singularities. (search for similar items in EconPapers) Published in International Journal of Professional Studies 1.1(2016): pp. 14-30 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:83036 Access Statistics for this paper More papers in MPRA Paper from University Library of Munich, Germany Ludwigstraße 33, D-80539 Munich, Germany. Contact information at EDIRC. |
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