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arXiv · 1408.3561

Mimetic $F(R)$ gravity: inflation, dark energy and bounce

Shin'ichi Nojiri·Sergei D. Odintsov
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Abstract

We propose the mimetic $F(R)$ theory and investigate the early-time and late-time acceleration in such theory. It is demonstrated that inflation consistent with observable data may be realized in such theory. The reconstruction of realistic $Λ$CDM era is also possible as well as the unification of early-time inflation with late-time acceleration or bounce universe. It is stressed that specific universe evolution is governed by mimetic $F(R)$ theory which is different from convenient $F(R)$ gravity. The corresponding examples are presented. Mimetic $F(R)$ gravity is generalized by the addition of the scalar potential in the formulation of convenient $F(R)$ gravity with specific Lagrange multiplier constraint. It is demonstrated that such theory may admit the arbitrary universe evolution via the corresponding choice of the scalar potential and/or function $F(R)$.

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Shin'ichi Nojiri, Sergei D. Odintsov. 2014-12-18. Mimetic $F(R)$ gravity: inflation, dark energy and bounce. https://doi.org/10.1142/s0217732314502113

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