A geometrical action for dilaton gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages. Final version, major modifications

Scientific paper

10.1088/0264-9381/12/8/004

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.

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