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:	Creators Email ORCID Curiel, Erik erik@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:	https://philsci-archive.pitt.edu/id/eprint/11769

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) [Currently Displayed]
  • A Weyl-Type Theorem for Geometrized Newtonian Gravity. (deposited 26 Oct 2015 11:49)

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