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:	Creators Email ORCID Curiel, Erik erik@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:	https://philsci-archive.pitt.edu/id/eprint/11736

Available Versions of this Item

• A Weyl-Type Theorem for Geometrized Newtonian Gravity. (deposited 08 Oct 2015 02:52)
  • A Weyl-Type Theorem for Geometrized Newtonian Gravity. (deposited 20 Nov 2015 14:12)
  • A Weyl-Type Theorem for Geometrized Newtonian Gravity. (deposited 26 Oct 2015 11:49) [Currently Displayed]

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