New integrable models and analytical solutions in $f(R)$~cosmology with an ideal gas [CL]

http://arxiv.org/abs/1801.01274


In the context of $f\left( R\right) $-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 $f(R)$ theories for which new analytical solutions are given and closed-form solutions are provided.

Read this paper on arXiv…

G. Papagiannopoulos, S. Basilakos, J. Barrow, et. al.
Mon, 8 Jan 18
97/117

Comments: 14 pages, 2 figures, to appear in Physical Review D