Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A correspondence between modified gravity and General Relativity with
  scalar fields   We describe a novel procedure to map the field equations of nonlinear
Ricci-based metric-affine theories of gravity, coupled to scalar matter
described by a given Lagrangian, into the field equations of General Relativity
coupled to a different scalar field Lagrangian. Our analysis considers examples
with a single and $N$ real scalar fields, described either by canonical
Lagrangians or by generalized functions of the kinetic and potential terms. In
particular, we consider several explicit examples involving $f(R)$ theories and
the Eddington-inspired Born-Infeld gravity model, coupled to different scalar
field Lagrangians. We show how the nonlinearities of the gravitational sector
of these theories can be traded to nonlinearities in the matter fields, and how
the procedure allows to find new solutions on both sides of the correspondence.
The potential of this procedure for applications of scalar field models in
astrophysical and cosmological scenarios is highlighted.

36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ