1307.7150 (Yi-Fu Cai et al.)

$F(R)$ nonlinear massive gravity and cosmological implications    [PDF]

Yi-Fu Cai, Francis Duplessis, Emmanuel N. Saridakis

We propose a nonlinear massive gravitational theory which includes $F(R)$ modifications. This construction inherits the benefits of the dRGT model and is free of the Boulware-Deser ghost due to the existence of a Hamiltonian constraint accompanied by a nontrivial secondary one. However, the advantage is that the scalar perturbations in a cosmological background can be stabilized at linear level in an FRW universe by tuning the $F(R)$ form. Finally, due to the combined contribution of the $F(R)$ and graviton-mass sectors, the proposed theory allows for a huge class of cosmological evolutions, such as the simultaneous and unified description of inflation and late-time acceleration.

View original: http://arxiv.org/abs/1307.7150