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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 in a
Lorentzian space. The theorem, loosely speaking, says that a
projective structure and a suitably defined compatible conformal
structure on such a space 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
Keywords: geometrized Newtonian gravity conformal structure projective 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: 08 Oct 2015 02:52
Last Modified: 26 Oct 2015 11:49
Item ID: 11707
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/11707

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