Cosmological perturbations of self-accelerating universe in nonlinear massive gravity

By A. Gümrükçüoğ, Chunshan Lin, S. Mukohyama. 2011

193 citations recorded by the source corpus.

We study cosmological perturbations of self-accelerating universe solutions in the recently proposed nonlinear theory of massive gravity, with general matter content. While the broken diffeomorphism invariance implies that there generically are 2 tensor, 2 vector and 2 scalar degrees of freedom in the gravity sector, we find that the scalar and vector degrees have vanishing kinetic terms and nonzero mass terms. Depending on their nonlinear behavior, this indicates either nondynamical nature of these degrees or strong couplings. Assuming the former, we integrate out the 2 vector and 2 scalar degrees of freedom. We then find that in the scalar and vector sectors, gauge-invariant variables constructed from metric and matter perturbations have exactly the same quadratic action as in general relativity. The difference from general relativity arises only in the tensor sector, where the graviton mass modifies the dispersion relation of gravitational waves, with a time-dependent effective mass. This may lead to modification of stochastic gravitational wave spectrum.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d50ae59b9b8f9b86d9d83bc14545163a7aa3b172

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Citations in the corpus

A systematic approach to generalisations of General Relativity and their cosmological implications (2018, background): “Even if these open FLRW solutions look promising at first sight, the study of perturbations on top of these solutions reveal either strong coupling or instabilities [187].”
Cosmological stability bound in massive gravity and bigravity (2013, background): “Finding observationally relevant cosmological solutions in these theories has received considerable attention [19–45].”
Massive Gravity (2014, background): “Despite the positive existence of open FLRW solutions in massive gravity, there remain problems of either strong coupling (due to absence of quadratic kinetic terms for physical degrees of freedom) or other instabilities which essentially rule out the physical relevance of these FLRW solutions [285,”