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Cosmological Perturbations in Extended Massive Gravity · Around

2013

Cosmological Perturbations in Extended Massive Gravity

Gumrukcuoglu, A. Emir, Hinterbichler, Kurt, Lin, Chunshan et al.

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We study cosmological perturbations around self-accelerating solutions to two extensions of nonlinear massive gravity: the quasi-dilaton theory and the mass-varying theory.

We examine stability of the cosmological solutions, and the extent to which the vanishing of the kinetic terms for scalar and vector perturbations of self-accelerating solutions in massive gravity is generic when the theory is extended.
We find that these kinetic terms are in general non-vanishing in both extensions, though there are constraints on the parameters and background evolution from demanding that they have the correct sign.
In particular, the self-accelerating solutions of the quasi-dilaton theory are always unstable to scalar perturbations with wavelength shorter than the Hubble length.

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