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``Is spacetime locally flat?”: a note

Gomes, Henrique (2022) ``Is spacetime locally flat?”: a note. [Preprint]

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I review three senses in which the slogans, `spacetime is locally flat’, and-or ‘spacetime is locally approximately flat’ can be justified. The background is a recent paper of Fletcher and Weatherall, that focuses on two of these senses: (i) that each tangent space is `like Minkowski', and (ii) that around any curve we can construct Fermi-coordinates in which Christoffel symbols vanish. They argue, against the orthodoxy, that these senses cannot be given substantive content. I will here, if not entirely disagree, attempt to qualify their verdicts. I also introduce a third sense, based on geodesic deviation: that tidal effects can be ignored, in the sense that deviation becomes linear (i.e. like Minkowski), when geodesics are very close to each other.

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Item Type: Preprint
Gomes, Henriquegomes.ha@gmail.com0000-0002-9285-0090
Keywords: Relativity
Subjects: Specific Sciences > Physics > Relativity Theory
Depositing User: Dr Henrique Gomes
Date Deposited: 25 Oct 2022 17:20
Last Modified: 25 Oct 2022 17:20
Item ID: 21311
Subjects: Specific Sciences > Physics > Relativity Theory
Date: 2022

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