Warped product approach to universe with nonsmooth scale factor

Abstract

In the framework of Lorentzian warped products, we study the Friedmann-Robertson-Walker cosmological model to investigate nonsmooth curvatures associated with multiple discontinuities involved in the evolution of the universe. In particular we analyze nonsmooth features of the spatially flat Friedmann-Robertson-Walker universe by introducing double discontinuities occurred at the radiation-matter and matter-lambda phase transitions in astrophysical phenomenology. © 2004 American Institute of Physics.