Minimal gravitational coupling in the Newtonian theory and the covariant Schroedinger equation

Details Minimal gravitational coupling in the Newtonian theory and the covariant Schroedinger equation Minimal gravitational coupling in the Newtonian theory and the covariant Schroedinger equation

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..333d&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 16, April 1984, p. 333-347. Research supported by the Universited'Aix-

Mathematics

Group Theory

22

Covariance, Gauge Theory, Gravitation Theory, Group Theory, Newton Theory, Schroedinger Equation, Cartan Space, Coupling, Klein-Gordon Equation, Relativity, Scalars, Space-Time Functions

Scientific paper

The role of the Bargmann group (11-dimensional extended Galilei group) in nonrelativistic gravitation theory is investigated. The generalized Newtonian gravitation theory (Newton-Cartan theory) achieves the status of a gauge theory about as much as general relativity and couples minimally to a complex scalar field leading to a four-dimensionally covariant Schroedinger equation. Matter current and stress-energy tensor follow correctly from the Lagrangian. This theory on curved Newtonian space-time is also shown to be a limit of the Einstein-Klein-Gordon theory.

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