# Late time cosmological approach in mimetic $f(R,T)$ gravity

## TL;DR

This paper explores late-time cosmic acceleration within mimetic $f(R,T)$ gravity, analyzing the effects of collisional matter on dark energy behavior and comparing models with observational data.

## Contribution

It introduces a detailed analysis of cosmological evolution in mimetic $f(R,T)$ gravity with collisional matter, highlighting damping of dark energy oscillations.

## Key findings

- Dark energy oscillations can be damped with collisional matter
- Models align well with observational data
- Collisional matter influences late-time cosmic acceleration

## Abstract

In this paper, we investigate the late-time cosmic acceleration in mimetic $f(R,T)$ gravity with Lagrange multiplier and potential in a Universe containing, besides radiation and dark energy, a self-interacting (collisional) matter. We obtain through the modified Friedmann equations, the main equation that can describe the cosmological evolution and with several models from $Q(z)$ and the well known particular model $f(R, T)$, we perform an analysis of the late-time evolution. We examine the behavior of the Hubble parameter, the dark energy equation of state and the total effective equation of state and we compare in each case the resulting picture with the non-collisional matter (assumed as dust) and also with the collisional matter in mimetic $f(R, T)$ gravity. The results obtained are in good agreement with the observational data and show that in presence of the collisional matter the dark energy oscillations in mimetic f(R, T) gravity can be damped.