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arXiv 1111.4107hep-thastro-ph.COgr-qc
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非线性大质量引力场中自加速宇宙的宇宙学扰动

Cosmological perturbations of self-accelerating universe in nonlinear massive gravity

A. Emir Gumrukcuoglu, Chunshan Lin, Shinji Mukohyama

摘要:

我们研究了最近提出的具有一般物质内容的非线性大质量引力理论中自加速宇宙解的宇宙学扰动。虽然破缺同态不变性意味着在引力扇区中一般有2个张量、2个矢量和2个标量自由度,但我们发现标量和矢量自由度具有消失的动力学项和非零的质量项。根据它们的非线性行为,这表明这些度的非动力学性质或强耦合。假设是前者,我们将2个矢量自由度和2个标量自由度积分出来。然后,我们发现,在标量和矢量部门,规范不变变量构造的度量和物质微扰具有完全相同的二次作用在广义相对论。与广义相对论的区别只出现在张量部分,在那里引力子质量修改了引力波的色散关系,有效质量依赖于时间。这可能导致随机引力波谱的修正。

英文摘要:

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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