Two new tests to the distance duality relation with galaxy clusters
  The cosmic distance duality relation is a milestone of cosmology involving
the luminosity and angular diameter distances. Any departure of the relation
points to new physics or systematic errors in the observations, therefore tests
of the relation are extremely important to build a consistent cosmological
framework. Here, two new tests are proposed based on galaxy clusters
observations (angular diameter distance and gas mass fraction) and $H(z)$
measurements. By applying Gaussian Processes, a non-parametric method, we are
able to derive constraints on departures of the relation where no evidence of
deviation is found in both methods, reinforcing the cosmological and
astrophysical hypotheses adopted so far.
