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 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  

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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://philsciarchive.pitt.edu/id/eprint/11736 
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)
 A WeylType Theorem for Geometrized Newtonian Gravity. (deposited 26 Oct 2015 11:49) [Currently Displayed]
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