Use of a physical metric for OPERA experiment
  A physical metric is introduced as one that directly gives experimental data without further coordinate transformation. It will be shown that the geodesic equation for the Schwartzschild metric does not give the correct expression for the Shapiro time delay experiment. In the physical metric the speed of light on the surface of the earth is exactly the same as that in vacuum to first order in gravity, and this should eliminate the inconsistency of the speed of the neutrino exceeding that of light, if enough care is exerted in the discussion. 
Yukio Tomozawa
physics.gen-ph