Bouncing cosmology in $f(R,\mathcal{G})$ gravity by order reduction
  A bouncing universe is a viable candidate to solve the initial singularity
problem. Here we consider bouncing solutions in the context of
$f(R,\mathcal{G})$ gravity by using an order reduction technique which allows
one to find solutions that are perturbatively close to General Relativity. This
procedure also acts as a model selection approach. Indeed, several covariant
gravitational actions leading to a bounce are directly selected by demanding
that the Friedmann equation derived within such gravity theories coincides with
the one emerging from Loop Quantum Cosmology.
