On the physical interpretation of non-metricity in Brans-Dicke gravity
General Relativity and Quantum Cosmology
2018-04-24 v4
Abstract
Brans-Dicke theory is described by an action that allows the so called frame transformation, which replaces the non-minimal coupling between the scalar field and the curvature by a coupling between the scalar field and matter fields. In this paper, we describe how the viewpoint that they are physically equivalent has a geometrical counterpart in the framework of Weyl integrable geometry. This way, Dicke's interpretation in terms of running units is a physical manifestation of the non-metricity tensor.
Keywords
Cite
@article{arxiv.1610.05004,
title = {On the physical interpretation of non-metricity in Brans-Dicke gravity},
author = {Iarley P. Lobo},
journal= {arXiv preprint arXiv:1610.05004},
year = {2018}
}
Comments
9 pages. I added some comments on the role of a non-holonomic basis and minor corrections in the notation. Also the title was modified. Version accepted for International Journal of Geometric Methods in Modern Physics (IJGMMP)