Curiel, Erik (2015) A WeylType 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  

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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://philsciarchive.pitt.edu/id/eprint/11769 
Available Versions of this Item

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