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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
Manchak, John
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 15:17
Item ID: 4380

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