Finite-time singularities in f(R, T) gravity and the effect of conformal
  anomaly
  We investigate $f(R,T)$ gravity models ($R$ is the curvature scalar and $T$
is the trace of the stress-energy tensor of ordinary matter) that are able to
reproduce the four known types of future finite-time singularities. We choose a
suitable expression for the Hubble parameter in order to realise the cosmic
acceleration and we introduce two parameters, $\alpha$ and $H_s$, which
characterise each type of singularity. We address conformal anomaly and we
observe that it cannot remove the sudden singularity or the type IV one, but,
for some values of $\alpha$, the big rip and the type III singularity may be
avoided. We also find that, even without taking into account conformal anomaly,
the big rip and the type III singularity may be removed thanks to the presence
of the $T$ contribution of the $f(R,T)$ theory.
