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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 and affine 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 metric structure of a Newtonian
spacetime model up to constant factors, and for fixing its affine
structure as well. The theorem 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
Keywords: geometrized Newtonian gravity conformal structure projective structure general relativity theory interpretation
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: 20 Nov 2015 14:12
Last Modified: 20 Nov 2015 14:12
Item ID: 11769
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/11769

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