On a new variational principle in general relativity and the energy of the gravitational field.

Details On a new variational principle in general relativity and the energy of the gravitational field. On a new variational principle in general relativity and the energy of the gravitational field.

Oct 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9..857k&link_type=abstract

General Relativity and Gravitation, Volume 9, Issue 10, pp.857-877

Physics

35

Gravitation:Relativity, Relativity: Space-Time

Scientific paper

A new variational principle based on the affine connection in space-time is proposed. This leads to a new formulation of general relativity. The gravitational field is a field of inertial frames in space-time. The metricg appears as a momentum canonically conjugate to the gravitational field. In the case of simple matter fields, e.g., scalar fields, electromagnetic fields, Proca fields, or hydrodynamical matter, the new formulation is equivalent to the traditional one. A new formulation of conservation laws is proposed.

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