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arXiv · hep-th/9308087

Volume-forms and Minimal Action Principles in Affine Manifolds

A. Saa
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Abstract

Through the analyses of volume-forms in differentiable manifolds, it is shown that the usual way of defining minimal action principles for field theory on curved space-times is not appropriate on non-riemannian manifolds. An alternative approach, based in a new volume-form, is proposed and confronted with the standard one. The new volume element is explicitly used in the study of Einstein-Cartan theory of gravity and its relation to string theory, in connection with some recent results on the subject.

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A. Saa. 1993-08-19. Volume-forms and Minimal Action Principles in Affine Manifolds. https://doi.org/10.1016/0393-0440(94)00006-p

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