Anisotropic inflation in Finsler spacetime
  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 quantum fluctuation of
the inflation field. It depends not only on the magnitude of wavenumber but
also on the preferred direction. We derive the gravitational field equations in
the perturbed Finslerian background spacetime, and 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
angular correlation coefficients if $l'=l+1$. The numerical results of the
angular correlation coefficients are given to describe the anisotropic effect.
