Volume-forms and Minimal Action Principles in Affine Manifolds

Details Volume-forms and Minimal Action Principles in Affine Manifolds Volume-forms and Minimal Action Principles in Affine Manifolds

1993-08-18

arxiv.org/abs/hep-th/9308087v2

J. Geom. Phys. 15 (1995) 102-108

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, IFUSP/P-1068

Scientific paper

10.1016/0393-0440(94)00006-P

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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