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In the framework of Lorentzian warped products, we study theFriedmann-Robertson-Walker cosmological model to investigate non-smoothcurvatures associated with multiple discontinuities involved in the evolutionof the universe. In particular we analyze non-smooth features of the spatiallyflat Friedmann-Robertson-Walker universe by introducing double discontinuitiesoccurred at the radiation-matter and matter-lambda phase transitions inastrophysical phenomenology.Comment: 10 page

Warped product approach to universe with nonsmooth scale factor