Curvature dominance DE-model in $f(R)$-gravity

TL;DR

This paper investigates a cubic $f(R)$-gravity cosmological model that explains accelerating universe expansion, aligns with observational data, and behaves similarly to $ ext{Lambda}$CDM at late times.

Contribution

The study introduces a specific cubic $f(R)$-gravity model and analyzes its cosmological evolution, demonstrating consistency with observational data and $ ext{Lambda}$CDM.

Findings

The model predicts universe acceleration with a transition redshift around 0.69.

It aligns well with observational Hubble and Pantheon data.

The model exhibits $ ext{Lambda}$CDM-like behavior at late times.

Abstract

We have probed a cosmological model in $f(R)$-gravity, which is a cubic equation in scalar curvature $R$. The terms arise due to nonlinear $f(R)$ function are treated as energy due to curvature inspired geometry. As a result, we find accelerating expansion in the universe, which creates an anti-gravitating negative pressure in it. Some of the physical parameters are solved using numerical methods. The evolution of the model are examined by the latest observational Hubble data (46-data points) and Pantheon data (the latest compilation of SNIa with 40 binned in the redshift range $0.014 \leqslant z \leqslant1.62$). Some important features of the model have been discussed by analyzing the plots of various dynamical parameters. The plots of deceleration parameter $q$ and the Hubble parameter $H$ describe the accelerating expansion in the evolution of the Universe at the present epoch. The transition from deceleration to acceleration for our model is obtained at redshift $z_{tr} \simeq 0.694069$, which is in good agreement with $\Lambda$CDM. We have also carried out state finder analysis for our model. The analysis of specific features of the model confirms that our model is consistent with $\Lambda$CDM in late times.