# Viability of Bianchi type V Universe in $f(R,T)= f_{1}(R)+f_{2}(R)f_{3}(T)$ gravity

## TL;DR

This study explores the viability of a Bianchi type V universe within a specific $f(R,T)$ gravity model, analyzing observational data, physical parameters, energy conditions, and diagnostic tools to assess its cosmological consistency.

## Contribution

It introduces a singular Lagrangian model with a power-law scale factor in $f(R,T)$ gravity, providing constraints on parameters using observational data and analyzing physical and stability features.

## Key findings

- Constraints on Hubble constant $H_{0}$ and parameter $n$ from observational data.
- Physical parameters and energy conditions are consistent with a viable cosmological model.
- Diagnostic analyses indicate the model's compatibility with observational universe behavior.

## Abstract

In this paper, we examine the viability of Bianchi type V universe in $f(R,T)$ theory of gravitation. To solve the field equations, we have considered the power law for scale factor and constructed a singular Lagrangian model which is based on the coupling between Ricci scalar R and trace of energy-momentum tensor T. We find the constraints on Hubble constant $H_{0}$ and free parameter $n$ with 46 observational Hubble dataset and obtain pretty satisfactory results. The physical features of the model and transitional behavior of equation of state (EOS) parameter are analyzed. We examine the nature of physical parameters and validity of energy conditions as well as stability condition. We also present the Om(z) and statefinder diagnostic analysis for the derived model.