Estimation of $H_0$ and $r_d$ in the $\omega(z)$ Parameterization within Einstein and Horava-Lifshitz Gravity Using DESI-Y1 and SDSS-IV

TL;DR

This paper introduces a new dynamical dark energy model within Einstein and Horava-Lifshitz gravity frameworks, using recent cosmological data to estimate key parameters like $H_0$ and $r_d$, and compares its performance with standard models.

Contribution

The study develops a novel dark energy model with CDMMA parametrization in two gravity frameworks and validates it against recent observational datasets, providing new insights into late-time cosmic evolution.

Findings

Model fits well with current data

All three models are statistically supported

Provides estimates for $H_0$ and $r_d$ consistent with observations

Abstract

We present a novel dynamical dark energy model within the frameworks of both Einstein gravity and Horava-Lifshitz gravity. Utilizing CDMMA parametrization of the dark energy equation of state $\omega(z)$, we derive solutions to the field equations. By employing recent cosmological datasets, such as cosmic chronometer datasets, Type Ia Supernovae datasets, and Baryonic Oscillation datasets (DESI Y1 and SDSS-IV). We validate our model and determine optimal parameter values. Furthermore, we analyze the evolution of the Universe by showing the redshift dependence plots of key cosmological parameters through graphical representations. We also perform diagnostic analyses to compare our model with the standard model. Using the Akaike Information Criterion (AIC), we compare the three models and find that all of them are supported by the current data, making it impossible to discard any of them. Our model aligns well with recent observations and unveils intriguing features of the Universe, particularly the late-time behavior of the Universe.