Exploration of Parameters in f(R,T) Gravity and Comparison with Type Ia Supernovae Data

TL;DR

This paper investigates $f(R,T)$ gravity models with different parameters, showing that models with negative epsilon match supernova data well and predict late-time exponential expansion, offering an alternative to standard cosmology.

Contribution

It introduces and tests specific $f(R,T)$ gravity models with a new parameterization, comparing their predictions with supernova data to assess their viability.

Findings

Models with $ ext{epsilon}<0$ fit supernova data better than standard cosmology.

All models with $ ext{epsilon}<0$ predict late-time exponential expansion.

Models with $ ext{epsilon}>0$ perform worse than standard cosmology.

Abstract

The expansion of the Universe in $f(R,T)$ gravity is studied. We consider functions of the form $f(R,T)=R+\lambda T^\epsilon$ where $\epsilon<1$. We find that for all models with $\epsilon<0$, the Universe transitions to exponential growth at late times, just as it does in the standard cosmological model, which corresponds to $\epsilon=0$. It also fits the type Ia supernova data slightly better than the standard cosmological model, without increasing the number of parameters of the theory. In contrast, the fits for $\epsilon >0$ rapidly become worse than the standard cosmological model.