Cosmologies in $f(R,\mathcal{L}_m)$ theory with non-minimal coupling between geometry and matter

TL;DR

This paper investigates a modified gravity model with non-minimal coupling between geometry and matter, assessing its ability to replicate cosmological observations and potentially explain the universe's accelerated expansion.

Contribution

It analyzes the simplest $f(R, ext{L}_m)$ gravity model with non-minimal coupling in a cosmological setting, exploring its observational viability.

Findings

The model can reproduce key cosmological features.

It offers an alternative explanation for cosmic acceleration.

The coupling affects matter evolution and cosmic dynamics.

Abstract

Among the recent extensions to standard General Relativity, $f(R,\mathcal{L}_m)$ gravity has risen an interest given the possibility of coupling between geometry and matter. We examine the simplest model with non-minimal coupling in the context of cosmology. We pay special attention to the question of how far this model could reproduce the observational fact of our universe.