# Constraining f(R,T) Gravity From The Dark Energy Density Parameter $\Omega_{\Lambda}$

## TL;DR

This paper constrains a specific $f(R,T)$ gravity model using the dark energy density parameter, deriving a lower bound on the model parameter $\

## Contribution

It introduces a novel method to constrain $f(R,T)$ gravity models using cosmological parameters, specifically relating $\

## Key findings

- Lower bound on $\\lambda$ parameter: $\\lambda \\gtrsim -1.9 imes 10^{-8}$
- Method links cosmological constant and critical density to model constraints
- Supports the viability of the $f(R,T)$ model in cosmology

## Abstract

$f(R,T)$ gravity is a widely used extended theory of gravity introduced in \cite{9} which is a straightforward generalization of $f(R)$ gravity. The action in this extended theory of gravity incorporates well motivated functional forms of the Ricci scalar $R$ and trace of energy momentum tensor $T$. The present manuscript aims at constraining the most widely used $f(R,T)$ gravity model of the form $f(R+2\lambda T)$ to understand its coherency and applicability in cosmology. We communicate here a novel method to find an lower bound on the model parameter $\lambda \gtrsim -1.9 \times 10^{-8}$ through the equation relating the cosmological constant ($\Lambda$) and the critical density of the universe ($\rho_{cr}$).