Modified Friedmann model in Randers-Finsler space of approximate Berwald type as a possible alternative to dark energy hypothesis

TL;DR

This paper proposes a modified Friedmann model within Randers-Finsler geometry that explains the universe's accelerated expansion without dark energy, by introducing a structure that produces a repulsive force in geodesics.

Contribution

It introduces a novel Randers-Finsler geometric framework to model cosmic acceleration without dark energy, expanding the theoretical landscape of cosmology.

Findings

Accelerated expansion achieved without dark energy

Randers-Finsler structure induces repulsive geodesic force

Modified Friedmann equations compatible with observations

Abstract

Gravitational field equations in Randers-Finsler space of approximate Berwald type are investigated. A modified Friedmann model is proposed. It is showed that the accelerated expanding universe is guaranteed by a constrained Randers-Finsler structure without invoking dark energy. The geodesic in Randers-Finsler space is studied. The additional term in the geodesic equation acts as repulsive force against the gravity.