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A geometrical action for dilaton gravity

Alberto Saa
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Abstract

We study the gravitational interaction involving the dilaton and the anti-symmetrical $B_{μν}$ 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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Alberto Saa. 2000-03-29. A geometrical action for dilaton gravity. https://doi.org/10.1088/0264-9381%2F12%2F8%2F004

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