  In a first attempt to describe the effect on neutrino travel inside the Earth
caused by general relativity in the case of a dense Earth, we have neglected
the Earth's rotation, the Earth's ellipticity and also the surface terrain
variation, nevertheless we have focused our attention on the density
description of the Earth interior provided by geophysic's models such as PREM.
Assuming a non rotating Earth, the general relativistic effect on neutrino
travelling from CERN to GRAN-SASSO happened to produce a delay of $\delta
t=4.1863 \, picosecond$.
