General relativity and OPERA Experiment

In his paper "A very simple solution to the OPERA neutrino velocity problem" the author J. Manuel Garcia-Islas claims to have very easily solved and explained within the general theory of relativity that OPERA's neutrinos are not traveling faster than the speed of light and the early time arrival is due to the presence of the Earth's gravitational field. In this letter we easily show that the argument by Garcia-Islas does not work. Although it looks that data suggesting that neutrinos can travel faster than light probably resulted from a faulty connection in a GPS timing system, it is important to clarify that, in any case, the general relativistic effect discussed by Garcia-Islas cannot explain the original OPERA's data.