  We consider the scattering of the brane fields due to t-channel massive
graviton exchanges in the Randall-Sundrum model. The eikonal amplitude is
analytically calculated and both differential and total neutrino-nucleon cross
sections are estimated. The event rate of quasi-horizontal air showers induced
by cosmic neutrinos, which can be detected at the Pierre Auger Observatory, is
presented for two different fluxes of cosmogenic neutrinos.
