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: | 23 Jun 2022 11:47 | |||||||||
Last Modified: | 23 Jun 2022 11:47 | |||||||||
Item ID: | 20781 | |||||||||
Subjects: | Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
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Date: | 2022 | |||||||||
URI: | http://philsci-archive.pitt.edu/id/eprint/20781 |
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