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arXiv · 1509.02481

Some remarks concerning invariant quantities in scalar-tensor gravity

Ott Vilson
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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.

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Ott Vilson. 2015-09-08. Some remarks concerning invariant quantities in scalar-tensor gravity. https://doi.org/10.1007/s00006-015-0567-4

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