New integrable models and analytical solutions in $f(R)$~cosmology with an ideal gas
General Relativity and Quantum Cosmology
2018-01-25 v1 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In the context of -gravity with a spatially flat FLRW metric containing an ideal fluid, we use the method of invariant transformations to specify families of models which are integrable. We find three families of theories for which new analytical solutions are given and closed-form solutions are provided.
Keywords
Cite
@article{arxiv.1801.01274,
title = {New integrable models and analytical solutions in $f(R)$~cosmology with an ideal gas},
author = {G. Papagiannopoulos and Spyros Basilakos and John D. Barrow and Andronikos Paliathanasis},
journal= {arXiv preprint arXiv:1801.01274},
year = {2018}
}
Comments
14 pages, 2 figures, to appear in Physical Review D