Some remarks concerning invariant quantities in scalar-tensor gravity
General Relativity and Quantum Cosmology
2017-06-13 v1
Abstract
The aim of the current paper is to clarify some aspects of the formalism used for describing the scalar-tensor gravity characterized by four arbitrary local functionals of the scalar field. We recall the objects that are invariant with respect to a spacetime point under the local Weyl rescaling of the metric and under the scalar field redefinition. We phrase and prove a theorem that allows to link such an object to each quantity in a theory where two out of the four arbitrary local functionals of the scalar field are specified in a suitable manner. Based on these results we phrase and reason the existence of the so called translation rules.
Cite
@article{arxiv.1509.02481,
title = {Some remarks concerning invariant quantities in scalar-tensor gravity},
author = {Ott Vilson},
journal= {arXiv preprint arXiv:1509.02481},
year = {2017}
}
Comments
16 pages, Advances in Applied Clifford Algebras 2015