A variational principle for Newton-Cartan theory

Details A variational principle for Newton-Cartan theory A variational principle for Newton-Cartan theory

Jun 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..513g&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 16, June 1984, p. 513-526.

Physics

6

Cartan Space, Gravitation Theory, Newton Theory, Space-Time Functions, Variational Principles, Equations Of Motion, Gravitational Fields, Matter (Physics), Tensor Analysis

Scientific paper

In the framework of a space-time theory of gravitation a variational principle is set up for the gravitational field equations and the equations of motion of matter. The general framework leads to Newton's equations of motion with an unspecified force term and, for irrotational motion, to a restriction on the propagation of the shear tensor along the streamlines of matter. The field equations obtained from the variation are weaker than the standard field equations of Newton-Cartan theory. An application to fluids with shear and bulk viscosity is given.

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