Warped product approach to universe with non-smooth scale factor

Details Warped product approach to universe with non-smooth scale factor Warped product approach to universe with non-smooth scale factor

2003-08-16

arxiv.org/abs/math-ph/0308018v1

J.Math.Phys. 45 (2004) 642-651

Physics

Mathematical Physics

10 pages

Scientific paper

10.1063/1.1637714

In the framework of Lorentzian warped products, we study the Friedmann-Robertson-Walker cosmological model to investigate non-smooth curvatures associated with multiple discontinuities involved in the evolution of the universe. In particular we analyze non-smooth 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.

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