The cosmological principle and a generalization of Newton's theory of gravitation

Details The cosmological principle and a generalization of Newton's theory of gravitation The cosmological principle and a generalization of Newton's theory of gravitation

Nov 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15.1051m&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 15, Nov. 1983, p. 1051-1066.

Mathematics

Differential Geometry

4

Cosmology, Gravitation Theory, Newton Theory, Relativity, Big Bang Cosmology, Cartan Space, Differential Geometry, Gauge Theory, Manifolds (Mathematics), Poincare Problem, Space-Time Functions

Scientific paper

Using the notion of Galilei manifolds a geometric formulation of the cosmological principle for the prerelativistic theory of gravitation is presented. This is applied to a generalization of the Newton-Cartan theory which admits solutions with a curved Galilei structure. Furthermore, the limit relation between this theory and some relativistic theories is discussed.

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