Spherically symmetric static solutions in a non-local infrared
  modification of General Relativity
  We discuss static spherically symmetric solutions in a recently proposed
non-local infrared modification of Einstein equations induced by a term
$m^2g_{\mu\nu}\Box^{-1} R$, where $m$ is a mass scale. We find that, contrary
to what happens in usual theories of massive gravity, in this non-local theory
there is no vDVZ discontinuity and classical non-linearities do not become
large below a Vainshtein radius parametrically larger than the Schwarzschild
radius $r_S$. Rather on the contrary, in the regime $r\ll m^{-1}$ the
corrections to the metric generated by a static body in GR are of the form
$1+{\cal O}(m^2r^2)$ and become smaller and smaller toward smaller values of
$r$. The modification to the GR solutions only show up at $r > m^{-1}$. For
$m={\cal O}(H_0)$, as required for having interesting cosmological
consequences, the non-local theory therefore recovers all successes of GR at
the solar system and lab scales.
