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A Weyl-Type Theorem for Geometrized Newtonian Gravity

Curiel, Erik (2015) A Weyl-Type Theorem for Geometrized Newtonian Gravity. [Preprint]

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Abstract

I state and prove, in the context of a space having only the
metrical structure imposed by the geometrized version of Newtonian
gravitational theory, a theorem analagous to that of Weyl's for a
Lorentz manifold. The theorem says that a projective structure and
a suitably defined compatible conformal structure jointly suffice
for fixing the metrical structure of a Newtonian spacetime model up
to constant factors. It allows one to give a natural, physically
compelling interpretation of the spatiotemporal geometry of a
geometrized Newtonian gravity spacetime manifold, in close analogy
with the way Weyl's Theorem allows one to do in general relativity.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Curiel, Erikerik@strangebeautiful.com
Additional Information: Submitted *Journal of Mathematical Physics*, October 2015
Keywords: geometrized Newtonian gravity conformal structure projective structure metric structure general relativity
Subjects: Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Dr. Erik Curiel
Date Deposited: 26 Oct 2015 11:49
Last Modified: 26 Oct 2015 11:49
Item ID: 11736
Subjects: Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
Date: October 2015
URI: http://philsci-archive.pitt.edu/id/eprint/11736

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