Abstract

The observational evidence of [Formula: see text] gravity in the FRW universe is the focus of the study. We provide a novel cosmological theory in this paper that was created within the [Formula: see text] framework. We used the Markov Chain Monte Carlo (MCMC) method to limit the model parameters using the 31 Cosmic Chronometer points and 1048 Pantheon data points. We can efficiently explore the parameter space using this method. In order to compare our proposed [Formula: see text] model to the well-known [Formula: see text]CDM model, we take into account a parameterization of the Hubble parameter for solving the modified field equation. By studying these factors in the context of our new model, we get essential knowledge into the dynamics and evolution of the cosmos. State finder and Om Diagnostic, among other diagnostic tests, have been used to further analyze the behavior and consistency of our [Formula: see text] model. These tests give us a greater understanding of our model’s properties and their applicability to observational data.

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