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The Local Validity of Special Relativity, Part 1: Geometry

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
Creators:
CreatorsEmailORCID
Fletcher, Samuel C.scfletch@umn.edu0000-0002-9061-8976
Weatherall, James Owenweatherj@uci.edu
Keywords: general relativity, special relativity, normal coordinates, flatness
Subjects: Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
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
Date: 2022
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/22109

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