Finslerian Perturbation for the ACDM Model

被引:12
作者
Li Xin [1 ]
Wang Sai [1 ]
Chang Zhe [1 ]
机构
[1] Chinese Acad Sci, Inst High Energy Phys, Theoret Phys Ctr Sci Facil, Beijing 100049, Peoples R China
基金
中国国家自然科学基金;
关键词
ACDM perturbations; Finsler spacetime; COSMOLOGICAL CONSTANT; SYMMETRY; SPACETIME;
D O I
10.1088/0253-6102/61/6/19
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present Finslerian perturbation for the ACDM model, which breaks the isotropic symmetry of the universe. The analysis on the Killing vectors shows that the Randers-Finsler spacetime breaks the isotropic symmetry even if the scalar perturbations of the FRW metric vanish. In Randers-Finsler spacetime, the modified geodesic equation deduces a modified Boltzmann equation. We propose a perturbational version of the gravitational field equation in Randers-Finsler spacetime, where we have omitted the curvature tensor that does not belong to the base space of the tangent bundle. The gravitational field equations for the gravitational wave are also presented. The primordial power spectrum of the gravitational wave is investigated. We show that the primordial power spectrum for super-horizon perturbations is unchanged. For sub-horizon perturbations, however, the power spectrum is modified.
引用
收藏
页码:781 / 788
页数:8
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