# Model comparison using supernovae and Hubble parameter data

## TL;DR

This paper compares various dark energy cosmological models using supernovae and Hubble parameter data to determine their parameters, Hubble constant, and Universe age, revealing correlations between deceleration and Hubble constant.

## Contribution

It provides a comparative analysis of dark energy models with observational data, including parameter estimation and Universe age calculation.

## Key findings

- Correlation between deceleration parameter and Hubble constant.
- Different models fit supernovae and Hubble data with varying parameters.
- Predictions of decelerating parameter as a function of redshift for each model.

## Abstract

We compare several well-known cosmological dark energy models using observational data coming both from type Ia supernovae and from Hubble parameter measurements. First we use supernovae data to determine the free parameters of each model except for the Hubble constant $H_0$. Then, we use the Hubble parameter measurements to determine $H_0$, and finally the age of the Universe for each model is computed. Our main numerical results are summarized in tables, and they are briefly discussed. The prediction for the decelerating parameter as a function of red-shift for each model is shown in the same figure for comparison. Our numerical results seem to indicate a correlation between the deceleration parameter and the value of the Hubble constant.