Cosmological tests of the dark energy models in Finsler-Randers Space-time

TL;DR

This paper explores dark energy models within Finsler-Randers space-time, deriving field equations, analyzing cosmological implications, and constraining models with observational data to assess deviations from standard cosmology.

Contribution

It introduces a novel application of Finsler-Randers geometry to dark energy models and tests their viability against observational data, extending beyond traditional gravitational theories.

Findings

Dark energy models in Finsler-Randers space can explain cosmic acceleration.

Constraints from observational data limit model parameters.

Potential deviations from ΛCDM cosmology are identified.

Abstract

The Finsler-Randers space-time offers a novel perspective on cosmic dynamics, departing from the constraints of General Relativity. This paper thoroughly investigates two dark energy models resulting from the parametrization of $H$ within this geometric framework. We have conducted some geometrical and physical analysis of the dark energy models in Finslerian geometry. First, We have derived the field equations governing the universe's evolution within the Finsler-Randers formalism, incorporating the presence of dark energy. Through this, we explore its implications on cosmological phenomena, including cosmic expansion, late-time behavior of the universe, cosmological phase transition, and a few more. Also, we employ observational data such as Cosmic Chronometer, Supernovae, Gamma-Ray Bursts, Quasar, and baryon acoustic oscillations to constrain the parameters associated with dark energy in the Finsler-Randers universe. Comparing theoretical predictions with empirical observations, we assess the model viability and discern any deviations from the standard $\Lambda$CDM cosmology. Our findings offer intriguing insights into the nature of dark energy within this alternative gravitational framework, providing a deeper understanding of its role in shaping cosmic evolution. The implications of our results extend to fundamental cosmology, hinting at new avenues for research to unravel the mysteries surrounding dark energy and the geometric structure of the universe within non-standard gravitational theories.