Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mapping nonlinear gravity into General Relativity with nonlinear
  electrodynamics   We show that families of nonlinear gravity theories formulated in a
metric-affine approach and coupled to a nonlinear theory of electrodynamics can
be mapped into General Relativity (GR) coupled to another nonlinear theory of
electrodynamics. This allows to generate solutions of the former from those of
the latter using purely algebraic transformations. This correspondence is
explicitly illustrated with the Eddington-inspired Born-Infeld theory of
gravity, for which we consider a family of nonlinear electrodynamics and show
that, under the map, preserve their algebraic structure. For the particular
case of Maxwell electrodynamics coupled to Born-Infeld gravity we find, via
this correspondence, a Born-Infeld-type nonlinear electrodynamics on the GR
side. Solving the spherically symmetric electrovacuum case for the latter, we
show how the map provides directly the right solutions for the former. This
procedure opens a new door to explore astrophysical and cosmological scenarios
in nonlinear gravity theories by exploiting the full power of the analytical
and numerical methods developed within the framework of GR.

25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin