A matter dominated navigation Universe in accordance with the Type Ia supernova data

TL;DR

This paper proposes a matter-dominated cosmological model with Finslerian geometry influenced by a drift, which successfully explains Type Ia supernova observations without dark energy.

Contribution

It introduces a novel Finslerian geometric framework for cosmology that modifies the luminosity-redshift relation, fitting supernova data.

Findings

Finslerian geometry alters the luminosity-distance relation.

The model fits Type Ia supernova data without dark energy.

The evolution follows standard gravitational equations with geometric modifications.

Abstract

We investigate a matter dominated navigation cosmological model. The influence of a possible drift (wind) in the navigation cosmological model makes the spacetime geometry change from Riemannian to Finslerian. The evolution of the Finslerian Universe is governed by the same gravitational field equation with the familiar Friedmann-Robertson-Walker one. However, the change of space geometry from Riemannian to Finslerian supplies us a new relation between the luminosity distant and redshift. It is shown that the Hubble diagram based on this new relation could account for the observations on distant Type Ia supernovae.