A test of the evolution of gas depletion factor in galaxy clusters using
  strong gravitational lensing systems
  In this letter, we discuss a new method to probe the redshift evolution of
the gas depletion factor, i.e. the ratio by which the gas mass fraction of
galaxy clusters is depleted with respect to the universal mean of baryon
fraction. The dataset we use for this purpose consists of 40 gas mass fraction
measurements measured at $r_{2500}$ using Chandra X-ray observations, strong
gravitational lensing sub-samples obtained from SLOAN Lens ACS + BOSS
Emission-line Lens Survey (BELLS) + Strong Legacy Survey SL2S + SLACS. For our
analysis, the validity of cosmic distance duality relation is assumed. We find
a mildly decreasing trend for the gas depletion factor as a function of
redshift at about 2.7$\sigma$. This is the first result in literature which
does not find a constant gas depletion factor as a function of redshift using
gas mass fraction measurements at $r_{2500}$.
