A geometrical action for dilaton gravity

Abstract

We study the gravitational interaction involving the dilaton and the anti-symmetrical $B_{\mu \nu }$ fields that arises in the low-energy limit of string theory. It is shown that such interaction can be derived from a geometrical action principle, with the scalar of curvature of a non-Riemannian, but {\em metric-compatible}, connection as the lagrangian, and with a non-parallel volume-element. This action is contrasted with the recently proposed geometrical action for the 4-dimensional axi-dilaton gravity.

8 pages. Final version, major modifications

References in corpus (4)

• An Einstein-Hilbert Action for Axi-Dilaton Gravity in 4-Dimensions
• Volume-forms and Minimal Action Principles in Affine Manifolds
• Gauge fields on Riemann-Cartan space-times
• Lsdiff M and the Einstein Equations

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