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2012

Ghost-free $F(R)$ bigravity and accelerating cosmology

Nojiri, Shin'ichi, Odintsov, Sergei D.

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We propose a bigravity analogue of the $F(R)$ gravity.

Our construction is based on recent ghost-free massive bigravity where additional scalar fields are added and the corresponding conformal transformation is implemented.
It turns out that $F(R)$ bigravity is easier to formulate in terms of the auxiliary scalars as the explicit presentation in terms of $F(R)$ is quite cumbersome.
The consistent cosmological reconstruction scheme of $F(R)$ bigravity is developed in detail, showing the possibility to realize nearly arbitrary physical universe evolution with consistent solution for second metric.

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