An Einstein-Hilbert Action for Axi-Dilaton Gravity in 4-Dimensions

Details An Einstein-Hilbert Action for Axi-Dilaton Gravity in 4-Dimensions An Einstein-Hilbert Action for Axi-Dilaton Gravity in 4-Dimensions

1995-02-08

arxiv.org/abs/gr-qc/9502018v1

Class.Quant.Grav.12:L31-L36,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages Plain Tex (No Figures), Letter to Editor Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/12/4/002

We examine the axi-dilatonic sector of low energy string theory and demonstrate how the gravitational interactions involving the axion and dilaton fields may be derived from a geometrical action principle involving the curvature scalar associated with a non-Riemannian connection. In this geometry the antisymmetric tensor 3-form field determines the torsion of the connection on the frame bundle while the gradient of the metric is determined by the dilaton field. By expressing the theory in terms of the Levi-Civita connection associated with the metric in the ``Einstein frame'' we confirm that the field equations derived from the non-Riemannian Einstein-Hilbert action coincide with the axi-dilaton sector of the low energy effective action derived from string theory.

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