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Is Spacetime Hole-Free?

Manchak, John (2008) Is Spacetime Hole-Free? [Preprint]

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    Here, we examine hole-freeness - a condition sometimes imposed to rule out seemingly artificial spacetimes. We show that under existing definitions (and contrary to claims made in the literature) there exist inextendible, globally hyperbolic spacetimes which fail to be hole-free. We then propose an updated formulation of the condition which enables us to show the intended result. We conclude with a few general remarks on the strength of the definition and then formulate a precise question which may be interpreted as: Are all physically reasonable spacetimes hole-free?

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    Item Type: Preprint
    Additional Information: Forthcoming in "General Relativity and Gravitation".
    Keywords: Determinism, Hole-Freeness, Singularities, Global Structure
    Subjects: Specific Sciences > Physics > Cosmology
    Specific Sciences > Physics > Relativity Theory
    Specific Sciences > Physics
    Depositing User: John Byron Manchak
    Date Deposited: 18 Dec 2008
    Last Modified: 07 Oct 2010 11:17
    Item ID: 4380

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