Fletcher, Samuel C. and Weatherall, James Owen (2022) The Local Validity of Special Relativity, Part 1: Geometry. [Preprint]
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Abstract
In this two-part essay, we distinguish several senses in which general relativity has been regarded as "locally special relativistic". Here, in Part 1, we focus on senses in which a relativistic spacetime has been said to be "locally (approximately) Minkowskian". After critiquing several proposals in the literature, we present a result capturing a substantive sense in which every relativistic spacetime is locally approximately Minkowskian. We then show that Minkowski spacetime is not distinguished in this result: every relativistic spacetime is locally approximately every other spacetime in the same sense. In Part 2, we will consider "locally specially relativistic" matter theories.
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| Item Type: | Preprint | |||||||||
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| Keywords: | general relativity, special relativity, normal coordinates, flatness | |||||||||
| Subjects: | Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
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| Depositing User: | James Owen Weatherall | |||||||||
| Date Deposited: | 16 May 2023 12:56 | |||||||||
| Last Modified: | 16 May 2023 12:56 | |||||||||
| Item ID: | 22109 | |||||||||
| Subjects: | Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
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| Date: | 2022 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/22109 |
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The Local Validity of Special Relativity, Part 1: Geometry. (deposited 23 Jun 2022 11:47)
- The Local Validity of Special Relativity, Part 1: Geometry. (deposited 16 May 2023 12:56) [Currently Displayed]
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