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 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  

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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:  https://philsciarchive.pitt.edu/id/eprint/11707 
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 A WeylType Theorem for Geometrized Newtonian Gravity. (deposited 08 Oct 2015 02:52) [Currently Displayed]
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