Manchak, John (2008) Is Spacetime Hole-Free? [Preprint]
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Abstract
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 | ||||||
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| 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 |
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| Depositing User: | John Byron Manchak | ||||||
| Date Deposited: | 18 Dec 2008 | ||||||
| Last Modified: | 07 Oct 2010 15:17 | ||||||
| Item ID: | 4380 | ||||||
| Subjects: | Specific Sciences > Physics > Cosmology Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics |
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| Date: | December 2008 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/4380 |
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