2015/02/08 by Xin Li, Sai Wang, Li, Xin +3 · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Solar and Space Plasma Dynamics #astro-ph.CO #gr-qc
paper · pdf · doi:10.48550/arxiv.1502.02256
15 pages, 8 figures. Minor revision
openalex publication_date 2015/02/08 · arxiv created 2015/02/13 · arxiv updated 2015/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.