Polytropic and Chaplygin f(R)-gravity models

Physics – General Physics

Scientific paper

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10 pages

Scientific paper

Motivated by the recent works of us [1,2], we establish a correspondence between the $f(R)$-gravity with the polytropic and Chaplygin gas dark energy models. We reconstruct the different f(R)-gravity models according to the polytropic, standard Chaplygin, generalized Chaplygin, modified Chaplygin and modified variable Chaplygin gas dark energy models. We obtain the necessary conditions for crossing the phantom divide line of the selected models which describe accelerated expansion of the universe.

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