https://doi.org/10.1140/epjc/s10052-016-3890-6
Regular Article - Theoretical Physics
Primordial power spectrum of tensor perturbations in Finsler spacetime
1
Department of Physics, Chongqing University, Chongqing, 401331, China
2
State Key Laboratory Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China
* e-mail: lixin1981@cqu.edu.cn
Received:
18
August
2015
Accepted:
10
January
2016
Published online:
27
January
2016
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 the tensor perturbations. The parity violation feature requires that the anisotropic effect contributes to the TT, TE, EE, BB angular correlation coefficients with 
and TB, EB with 
. The numerical results show that the anisotropic contributions to the angular correlation coefficients depend on m, and TE and ET angular correlation coefficients are different.
© The Author(s), 2016
