Constraints from Type IA Supernovae on λ-CDM Model in Randers-Finsler Space

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.

14 pages, 3 figures

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Cited by in corpus (5)

• Cosmological evolution and dark energy in osculating Barthel-Randers geometry
• Cosmological tests of the osculating Barthel-Kropina dark energy model
• Dark energy and accelerating cosmological evolution from osculating Barthel-Kropina geometry
• First comprehensive constraints on the Finslerian models using cosmological observations
• Constraining Temporal Oscillations of Cosmological Parameters Using Type Ia Supernovae