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arXiv · 1309.2185

New proposal for non-linear ghost-free massive $F(R)$ gravity: cosmic acceleration and Hamiltonian analysis

Josef Klusoň·Shin'ichi Nojiri·Sergei D. Odintsov
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Abstract

We propose new version of massive $F(R)$ gravity which is natural generalization of convenient massive ghost-free gravity. Its Hamiltonian formulation in scalar-tensor frame is developed. We show that such $F(R)$ theory is ghost-free. The cosmological evolution of such theory is investigated. Despite the strong Bianchi identity constraint the possibility of cosmic acceleration (especially, in the presence of cold dark matter) is established. Ghost-free massive $F(R,T)$ gravity is also proposed.

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Josef Klusoň, Shin'ichi Nojiri, Sergei D. Odintsov. 2013-11-06. New proposal for non-linear ghost-free massive $F(R)$ gravity: cosmic acceleration and Hamiltonian analysis. https://doi.org/10.1016/j.physletb.2013.10.003

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