New integrable models and analytical solutions in f(R) cosmology with an ideal gas

Papagiannopoulos, Giannis ; Basilakos, Spyros ; Barrow, John David ; Paliathanasis, Andronikos (2018-01-23)


In the context of f(R)-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.