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The generalized solution for the warp factor of the Randall-Sundrum metric ispresented which is symmetric with respect to both branes and explicitlyperiodic in extra variable. Given that the curvature of the 5-dimensionalspace-time is small, the expected rate of neutrino-induced inclined events atthe Surface Detector of the Pierre Auger Observatory is calculated. Both the"downward-going" (DG) and "Earth-skimming" (ES) neutrinos are considered. Bycomparing the expected event rate with the recent Auger data on searching forneutrino candidates, the lower bound on the fundamental gravity scale M_5 isobtained. The ratio of the number of the ES air showers to the number of the DGshowers is estimated as a function of M_5.

Warped extra dimension and inclined events at Pierre Auger Observatory