Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scalar tensor theory of gravity carrying a conserved current   A general scalar-tensor theory of gravity carries a conserved current for a
trace free minimally coupled scalar field, under the condition that the
potential $V(\phi)$ of the nonminimally coupled scalar field is proportional to
the square of the parameter $f(\phi)$ that is coupled with the scalar curvature
$R$. The conserved current relates the pair of arbitrary coupling parameters
$f(\phi)$ and $\omega(\phi)$, where the latter is the Brans-Dicke coupling
parameter. Thus fixing up the two arbitrary parameters by hand, it is possible
to explore the symmetries and the form of conserved currents corresponding to
standard and many different nonstandard models of gravity.

31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con