Newton-Cartan theory

Newton-Cartan theory

Newton-Cartan theory is a geometrical re-formulation, as well as a generalization, of Newtonian gravity developed by Elie Cartan. In this re-formulation, the structural similarities between Newton's theory and Albert Einstein's general theory of relativity are readily seen, and it has been used by Cartan and Kurt Friedrichs to give a rigorous formulation of the way in which Newtonian gravity can be seen as a specific limit of general relativity, and by Jürgen Ehlers to extend this correspondence to specific solutions of general relativity.

Bibliography

*Citation
last=Cartan
first=Elie
year=1923
journal=Ann. Ecole Norm.
volume=40
page=325

*Citation
last=Cartan
first=Elie
year=1924
journal=Ann. Ecole Norm.
volume=41
page=1

*Citation
last=Cartan
first=Elie
year=1955
title=OEuvres Complétes
volume=III/1
page=659, 799
publisher=Gauthier-Villars

*Chapter 1 of Citation
last=Ehlers
first = Jürgen
author-link=Jürgen Ehlers
contribution=Survey of general relativity theory
editor-last=Israel
editor-first=Werner
title=Relativity, Astrophysics and Cosmology
year=1973
publisher=D. Reidel
pages=1–125
isbn=90-277-0369-8


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