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General Relativity and Gravitation

, Volume 15, Issue 11, pp 1051–1066 | Cite as

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

  • Folkert Müller-Hoissen
Research Articles

Abstract

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.

Keywords

Field Equation Curvature Tensor Limit Relation Friedmann Equation Newtonian Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • Folkert Müller-Hoissen
    • 1
  1. 1.Institute for Theoretical PhysicsGöttingenFederal Republic of Germany

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