Cosmological Tests of $f(R,G,\mathcal{T})$ Dark Energy Model in FRW Universe

TL;DR

This paper introduces a new $f(R,G, )$ cosmological model tested against observational data, comparing its performance with the $\\Lambda$CDM model using advanced statistical and diagnostic tools to evaluate its viability.

Contribution

The study develops and tests a novel $f(R,G, )$ model using observational data and diagnostic tests, providing new insights into the universe's evolution beyond standard models.

Findings

The $f(R,G, )$ model fits observational data well.

Diagnostic tests support the model's consistency with observations.

Compared to $\\Lambda$CDM, the model shows promising results in explaining cosmic acceleration.

Abstract

This research article presents a new cosmological model formulated within the $f(R,G,\mathcal{T})$ framework, focusing on the observational signatures and parameter constraints of the model. The Markov Chain Monte Carlo (MCMC) technique is employed to effectively explore the parameter space using data from 36 Cosmic Chronometers and 1701 Pantheon Plus data points. A comparative analysis is conducted between the proposed $f(R,G,\mathcal{T})$ model and the widely accepted $\Lambda$CDM model, considering various cosmological parameters, such as Deceleration, Snap, and Jerk. By evaluating these parameters, valuable insights into the dynamics and evolution of the universe within the context of the new model are obtained. Diagnostic tests including Statefinder and Om Diagnostic are performed to further investigate the behavior and consistency of the $f(R,G,\mathcal{T})$ model. These tests provide deeper insights into the properties of the model and its compatibility with observational data. The model is subjected to statistical analysis using Information Criteria to rigorously assess its goodness of fit to the data. This analysis helps determine the level of agreement between the $f(R,G,\mathcal{T})$ model and the observational data, establishing the viability and reliability of the proposed cosmological framework. The results highlight the potential of the $f(R,G,\mathcal{T})$ framework in understanding the fundamental aspects of the universe's evolution and dynamics. The comparative analysis with the $\Lambda$CDM model, along with the comprehensive diagnostic tests performed, demonstrates the efficacy and validity of the $f(R,G,\mathcal{T})$ model in explaining observed cosmological phenomena. These findings contribute to the ongoing pursuit of accurate and comprehensive models that provide a deeper understanding of the nature of our universe.