Bouncing solutions in Rastall's theory with a barotropic fluid
  Rastall's theory is a modification of Einstein's theory of gravity where the
covariant divergence of the stress-energy tensor is no more vanishing, but
proportional to the gradient of the Ricci scalar. The motivation of this theory
is to investigate a possible non-minimal coupling of the matter fields to
geometry which, being proportional to the curvature scalar, may represent an
effective description of quantum gravity effects. Non-conservation of the
stress-energy tensor, via Bianchi identities, implies new field equations which
have been recently used in a cosmological context, leading to some interesting
results. In this paper we adopt Rastall's theory to reproduce some features of
the effective Friedmann's equation emerging from loop quantum cosmology. We
determine a class of bouncing cosmological solutions and comment about the
possibility of employing these models as effective descriptions of the full
quantum theory.
