Dark energy FRW cosmology - dynamical system reconstruction

TL;DR

This paper introduces a new geometrical method for reconstructing dark energy in FRW cosmology by analyzing the luminosity-distance relation, focusing on the dynamical system rather than the equation of state.

Contribution

It presents a novel approach to dark energy reconstruction that emphasizes the dynamical system of the universe instead of the traditional equation of state parameter.

Findings

Method effectively fits the redshift transition from deceleration to acceleration.

Demonstrates usefulness in reconstructing Hubble function at transition.

Provides examples illustrating the approach's applicability.

Abstract

We develop a simple method of dark energy reconstruction using a geometrical form of the luminosity-distance relation. In this method the FRW dynamical system with dark energy is reconstructed instead of the equation of state parameter. We give several examples which illustrate the usefulness of our method in fitting the redshift transition from the decelerating to accelerating phase as the value of the Hubble function at the transition.