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


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.


Field Equation Curvature Tensor Limit Relation Friedmann Equation Newtonian Theory 
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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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