Finslerian perturbation for the $\Lambda$CDM model

Abstract

We present Finslerian perturbation for the $\Lambda$CDM model, which breaks the isotropic symmetry of the universe. The analysis on the Killing vectors shows that the Randers-Finsler spacetime breaks the isotropic symmetry even if the scalar perturbations of the FRW metric vanish. In Randers-Finsler spacetime, the modified geodesic equation deduces a modified Boltzmann equation. We propose a perturbational version of the gravitational field equation in Randers-Finsler spacetime, where we have omitted the curvature tensor that does not belong to the base space of the tangent bundle. The gravitational field equations for the gravitational wave are also presented. The primordial power spectrum of the gravitational wave is investigated. We show that the primordial power spectrum for super-horizon perturbations is unchanged. For sub-horizon perturbations, however, the power spectrum is modified.

17 pages

References in corpus (6)

• Inflationary Cosmology
• General Very Special Relativity is Finsler Geometry
• New constraints on Parity Symmetry from a re-analysis of the WMAP-7 low resolution power spectra
• Lorentz Invariance Violation and Symmetry in Randers--Finsler Spaces
• Inflation and primordial power spectra at anisotropic spacetime inspired by Planck's constraints on isotropy of CMB
• Finslerian MOND vs. observations of Bullet Cluster 1E0657-558

Cited by in corpus (3)

• The Finslerian wormhole models
• Cosmological solutions and finite time singularities in Finslerian geometry
• On axiomatic formulation of gravity and matter field theories with MDRs and Finsler-Lagrange-Hamilton geometry on (co)tangent Lorentz bundles