Dark Energy and Cosmic Evolution: A Study in f (R, T) Gravity

TL;DR

This paper investigates the role of f(R, T) gravity in explaining the universe's accelerated expansion, using observational data to constrain the model and analyze dark energy's behavior and evolution.

Contribution

It introduces a detailed analysis of f(R, T) gravity with observational constraints, enhancing understanding of dark energy and cosmic evolution.

Findings

Best-fit parameters for f(R, T) model derived from data

Insights into dark energy behavior and equation of state

Analysis of cosmographic parameters and energy conditions

Abstract

In the context of f(R, T) gravity theory for the flat Friedmann Lemaitre Robertson Walker (FLRW) model, the accelerating expansion of the universe is investigated using a specific form of the emergent Hubble parameter. Datasets from H(z), Type Ia supernovae (SNIa), and Baryon Acoustic Oscillations (BAO) are used to constrain the model and identify the ideal parameter values in order to evaluate the statistical significance of f(R, T) gravity. The best-fit parameters are derived by solving the modified Friedmann equations through a MCMC analysis. These parameters are used to compute the equation of state, statefinders, energy conditions, and the (w-w) plane. Furthermore, the evolution of kinematic cosmographic parameters is examined. The findings provide significant behavior and features of dark energy models. Our comprehension of the dynamics and evolution of the universe is improved by this study, which also advances our understanding of dark energy and how it shapes the universe.