# Viability of the $R+e^T$ cosmology

## TL;DR

This paper introduces a novel $R+e^T$ cosmological model based on an exponential function of the energy-momentum tensor trace, deriving its equations and comparing predictions with observational data, offering an alternative to the cosmological constant.

## Contribution

It presents a new exponential $R+e^T$ gravity model, deriving its field equations and observational predictions, and evaluates its viability against current cosmological data.

## Key findings

- Model predictions align well with observational Hubble data.
- The model offers a promising alternative to the cosmological constant.
- Dynamical analysis shows consistent behavior with known cosmological evolution.

## Abstract

We propose a new theoretical approach for a cosmological model, which starts from an exponential of the trace of the energy-momentum tensor-dependence on the gravitational action, to be summed to the Ricci scalar. We derive the referred field equations and Friedmann-like equations. We derive the scale factor, Hubble parameter and deceleration parameter, in terms of both time and redshift. In possession of those parameters in terms of the redshift, we confront their predictions with the observational Hubble dataset and the outcomes are pretty satisfactory so that the model can be seen as a new alternative to the cosmological constant problem. We also present the statefinder diagnostic and discuss profoundly the dynamical behaviour of the model.