Geometrical Origin of Growth of Matter Perturbations

TL;DR

This paper explores how Finslerian geometry provides a natural geometric explanation for the growth of matter perturbations in the universe, linking inhomogeneity to spacetime structure.

Contribution

It introduces a Finslerian cosmological model where matter perturbations originate from geometric perturbations in spacetime, offering a novel perspective on structure formation.

Findings

Matter perturbations arise naturally from Finslerian spacetime perturbations.

Inhomogeneity in matter density is linked to Finslerian geometric effects.

The model explains the growth of matter perturbations as a geometric phenomenon.

Abstract

The density perturbation of the universe has been considered in the framework of a Finslerian cosmological model in which the background spacetime of the universe is taken as the spatially flat FLRW spacetime with a Finslerian perturbation. The inhomogeneity in the matter(energy) density arises naturally in this consideration of gravity in the $( \alpha, \beta)$ - Finsler space for the background spacetime of the universe. The resulting inhomogeneous matter density indicates matter perturbation departing from the uniform density, and it is caused by the Finslerian perturbation in the Riemannian spacetime, thus ascertaining the geometrical origin of the growth of matter perturbation.