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Primordial power spectrum of tensor perturbations in Finsler spacetime
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 angular
correlation coefficients with and with . The numerical
results show that the anisotropic contributions to angular correlation
coefficients depend on , and and angular correlation coefficients
are different.Comment: 15 pages, 12 fugures. arXiv admin note: text overlap with
arXiv:1502.0225
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