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Torsion and Nonmetricity in Scalar-Tensor Theories of Gravity

Jean-paul Berthias, Bahman Shahid-Saless

gr-qcarXiv:gr-qc/9303013

Abstract

We show that the gravitational field equations derived from an action composed of i) an arbitrary function of the scalar curvature and other scalar fields plus ii) connection-independent kinetic and source terms, are identical whether one chooses nonmetricity to vanish and have non-zero torsion or vice versa.

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