Warped product approach to universe with non-smooth scale factor
Jaedong Choi, Soon-Tae Hong
TL;DR
This paper explores a Lorentzian warped product framework to model a universe with non-smooth scale factors, analyzing discontinuities at key phase transitions in cosmology.
Contribution
It introduces a novel warped product approach to handle non-smooth features in cosmological models with multiple phase transition discontinuities.
Findings
Modeling of non-smooth curvature features at phase transitions
Analysis of discontinuities at radiation-matter and matter-lambda transitions
Extension of warped product methods to non-smooth cosmological scenarios
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.
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