Riemannian and Teleparallel Descriptions of the Scalar Field Gravitational Interaction

Details Riemannian and Teleparallel Descriptions of the Scalar Field Gravitational Interaction Riemannian and Teleparallel Descriptions of the Scalar Field Gravitational Interaction

1997-06-23

arxiv.org/abs/gr-qc/9706070v2

Gen.Rel.Grav. 30 (1998) 263-273

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Minor corrections made, and a paragraph added to the last section. Version to appear in Gen. Rel. Grav

Scientific paper

A comparative study between the metric and the teleparallel descriptions of gravitation is made for the case of a scalar field. In contrast to the current belief that only spin matter could detect the teleparallel geometry, scalar matter being able to feel the metric geometry only, we show that a scalar field is able not only to feel anyone of these geometries, but also to produce torsion. Furthermore, both descriptions are found to be completely equivalent, which means that in fact, besides coupling to curvature, a scalar field couples also to torsion.

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