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

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Abstract

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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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität zu Köln, D-5000, Köln 41, West Germany

    Friedrich W. Hehl

  2. Max-Planck-Institut für Physik und Astrophysik, D-8000, München 40, West Germany

    G. David Kerlick

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  1. Friedrich W. Hehl
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  2. G. David Kerlick
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Alexander von Humboldt Fellow.

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Hehl, F.W., Kerlick, G.D. Metric-affine variational principles in general relativity. I. Riemannian space-time. Gen Relat Gravit 9, 691–710 (1978). https://doi.org/10.1007/BF00760141

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