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Variety of cosmic acceleration models from massive $F(R)$ bigravity · Around

2012

Variety of cosmic acceleration models from massive $F(R)$ bigravity

Nojiri, Shin'ichi, Odintsov, Sergei D., Shirai, Norihito

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We study the accelerating cosmology in massive $F(R)$ bigravity via the reconstruction scheme.

The consistent solution of the FRW equations is presented: it includes Big and Little Rip, quintessence, de Sitter and decelerating universes described by the physical $g$ metric while the corresponding solution of the universe described by the reference $f$ metric is also found.
It is demonstrated that in general the cosmological singularities of $g$ metric are not always manifested as cosmological singularities of the reference $f$ metric.
We give two consistent ways to describe the Big and Little Rip, quintessence, de Sitter and decelerating universes.

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