Cosmological perturbations of self-accelerating universe in nonlinear massive gravity

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 t...

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Published inJournal of cosmology and astroparticle physics Vol. 2012; no. 3; pp. i - 26
Main Authors Gumrukcuoglu, A Emir, Lin, Chunshan, Mukohyama, Shinji
Format Journal Article
LanguageEnglish
Published United States 01.03.2012
Subjects
ASTROPHYSICS
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
COSMOLOGY
DEGREES OF FREEDOM
DISPERSION RELATIONS
DISTURBANCES
EFFECTIVE MASS
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
Gravitation
GRAVITATIONAL WAVES
GRAVITONS
Mathematical analysis
METRICS
NONLINEAR PROBLEMS
Nonlinearity
Perturbation
SCALARS
STOCHASTIC PROCESSES
Tensors
TIME DEPENDENCE
UNIVERSE
VECTORS
Vectors (mathematics)
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Summary: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.
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ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2012/03/006