2015/08/16 by Xin Li, Sai Wang
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-016-3890-6
15 pages, 12 fugures. arXiv admin note: text overlap with arXiv:1502.02256
arxiv created 2015/08/16 · arxiv updated 2016/03/23
We first investigate the gravitational wave in the flat Finsler spacetime. In the Finslerian universe, we derive the perturbed gravitational field equation with tensor perturbations. The Finslerian background spacetime breaks rotational symmetry and induces parity violation. Then we obtain the modified primordial power spectrum of tensor perturbations. The parity violation feature requires that the anisotropic effect contributes to TT,TE,EE,BB angular correlation coefficients with l'=l+1 and TB,EB with l'=l. The numerical results show that the anisotropic contributions to angular correlation coefficients depend on m, and TE and ET angular correlation coefficients are different.