Luc, Joanna and Placek, Tomasz (2019) Interpreting non-Hausdorff (generalized) manifolds in General Relativity. [Preprint]
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Abstract
The paper investigates the relations between Hausdorff and
non-Hausdorff manifolds as objects of General Relativity. We show
that every non-Hausdorff manifold can be seen as a result of gluing
together some Hausdorff manifolds. In the light of this result, we
investigate a modal interpretation of a non-Hausdorff differential
manifold, according to which it represents a bundle of alternative
spacetimes, all of which are compatible with a given initial data
set.
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| Item Type: | Preprint | |||||||||
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| Keywords: | non-Hausdorff manifolds, generalized manifolds | |||||||||
| Subjects: | Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory |
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| Depositing User: | Joanna Luc | |||||||||
| Date Deposited: | 03 Jul 2019 13:15 | |||||||||
| Last Modified: | 03 Jul 2019 13:15 | |||||||||
| Item ID: | 16172 | |||||||||
| Subjects: | Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory |
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| Date: | June 2019 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/16172 |
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