https://doi.org/10.1140/epjc/s10052-015-3468-8
Regular Article - Theoretical Physics
Anisotropic inflation in the Finsler spacetime
1
Department of Physics, Chongqing University, Chongqing, 401331, China
2
State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100049, China
3
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, 100049, China
* e-mail: wangsai@itp.ac.cn
Received:
2
April
2015
Accepted:
19
May
2015
Published online:
11
June
2015
We suggest the universe is Finslerian in the stage of inflation. The Finslerian background spacetime breaks rotational symmetry and induces parity violation. The primordial power spectrum is given for the quantum fluctuation of the inflation field. It depends not only on the magnitude of the wavenumber but also on the preferred direction. We derive the gravitational field equations in the perturbed Finslerian background spacetime, and we obtain a conserved quantity outside the Hubble horizon. The angular correlation coefficients are presented in our anisotropic inflation model. The parity violation feature of Finslerian background spacetime requires that the anisotropic effect only appears in the angular correlation coefficients if 
. The numerical results of the angular correlation coefficients are given describing the anisotropic effect.
© The Author(s), 2015
