Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-11-17
JCAP 03 (2012) 006
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, 1 figure; v2: minor update to match the published version
Scientific paper
10.1088/1475-7516/2012/03/006
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.
Gumrukcuoglu Emir A.
Lin Chunshan
Mukohyama Shinji
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