Metric-affine variational principles in general relativity. I - Riemannian space-time

Details Metric-affine variational principles in general relativity. I - Riemannian space-time Metric-affine variational principles in general relativity. I - Riemannian space-time

Aug 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9..691h&link_type=abstract

General Relativity and Gravitation, vol. 9, Aug. 1978, p. 691-710.

Physics

50

Relativity, Space-Time Functions, Variational Principles, Angular Momentum, Field Theory (Physics), Tensors

Scientific paper

Within the confines of conventional general relativity, variational principles are analyzed in which the metric tensor and the asymmetric linear connection are varied independently. The constraint that space-time remain Riemannian is introduced by means of the Lagrange multiplier technique. The Lagrange multiplier which effects this constraint, the hypermomentum current, is closely related to the constraint 'force' which keeps space-time Riemannian and should be a measure for the violation of the Riemannian constraint at the microscopic level.

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