Warped product approach to universe with non-smooth scale factor

Abstract

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.

10 pages

References in corpus (3)

• From Big Crunch to Big Bang
• Multiply Warped Products with Non-Smooth Metrics
• Warped products and Reissner-Nordstrom metric

Cited by in corpus (8)

• Curvature of Multiply Warped Products
• Higher dimensional cosmological model with a phantom field
• The geodesic motion near hypersurfaces in the warped products spacetime
• Green functions and dimensional reduction of quantum fields on product manifolds
• Looking for lepton flavour violation in supersymmetry at the LHC
• Warp products and (2+1) dimensional spacetimes
• Anisotropy universe in doubly warped product scheme
• Quantum field theory with an interaction on the boundary