Constraining logarithmic $f(R,T)$ model using Dark Energy density parameter $\Omega_{\Lambda}$ and Hubble parameter $H_0$

TL;DR

This paper investigates a logarithmic $f(R,T)$ gravity model, constraining its free parameter using dark energy density and Hubble data, and explores its cosmological implications.

Contribution

It introduces a logarithmic correction to the $f(R,T)$ gravity model and constrains its free parameter using observational cosmological data.

Findings

The free parameter $oldsymbol{eta}$ is constrained to $oldsymbol{eta extgreater -9.85 imes 10^{-29}}$.

The model's cosmological implications are analyzed.

The logarithmic $f(R,T)$ model fits observational data within the constrained parameter range.

Abstract

Of many extended theories of gravity, $f(R,T)$ gravity has gained reasonable interest in recent times as it provides interesting results in cosmology. Logarithmic corrections in modified theories of gravity has been studied extensively. In this work, we considered logarithmic correction to the trace term T and take the functional form as $f(R,T)=R + 16 \pi G \alpha \ln T$ where $\alpha$ is a free parameter. The free parameter is constrained using dark energy density parameter $\Omega_{\Lambda}$ and Hubble parameter $H_0$. The lower bound is found to be $\alpha \ge - 9.85 \times 10^{-29}$. The cosmological implications are also studied.