Constraints from Type IA Supernovae on {\lambda}-CDM Model in Randers-Finsler Space

TL;DR

This paper explores how modified gravitational equations in Randers-Finsler space can explain Type Ia supernova observations without requiring dark energy, challenging the standard cosmological model.

Contribution

It introduces a modified Friedmann equation in Randers-Finsler space that fits supernova data without dark energy, suggesting an alternative to the DM model.

Findings

Dark energy component mbda_{DM} is nearly zero in the fit.

Universe's age matches the age of our galaxy.

Supernova data can be explained without dark energy.

Abstract

Gravitational field equations in Randers-Finsler space of approximate Berwald type are investigated. A modified Friedmann equation and a new luminosity distance-redshift relation is proposed. A best-fit to the Type Ia supernovae (SNe) observations yields that the $\Omega_{\Lambda}$ in the $\Lambda$-CDM model is suppressed to almost zero. This fact indicates that the astronomical observations on the Type Ia SNe can be described well without invoking any form of dark energy. The best-fit age of the universe is given. It is in agreement with the age of our galaxy.