Integration of the Friedmann equation for universes of arbitrary complexity

@article{Lake2006IntegrationOT,
title={Integration of the Friedmann equation for universes of arbitrary complexity},
author={K. Lake},
journal={Physical Review D},
year={2006},
volume={74}
}

An explicit and complete set of constants of the motion are constructed algorithmically for Friedmann-Lemaitre-Robertson-Walker (FLRW) models consisting of an arbitrary number of noninteracting species, each with a constant ratio of pressure to density. The inheritance of constants of the motion from simpler models as more species are added is stressed. It is then argued that all FLRW models admit a unique candidate for a gravitational epoch function--a function which gives a global time… Expand