Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some remarks concerning invariant quantities in scalar-tensor gravity   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.

28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph