Novel approach of Hubble parameter in f(R,Tϕ) gravity

Author:

Shukla Bhupendra Kumar1ORCID,Sofuoğlu Değer2ORCID,Mishra Preeti3ORCID

Affiliation:

1. Department of Mathematics, Government College, Bandri Sagar, 470442, Madhya Pradesh, India

2. Department of Physics, Istanbul University, Vezneciler 34134 Fatih, Istanbul, Turkey

3. Department of Mathematics, Government TRS College, Rewa 486001, Madhya Pradesh, India

Abstract

The [Formula: see text] theory of gravity investigated by Harko et al. [T. Harko, F. S. N. Lobo, S. Nojiri and S. D. Odintsov, Phys. Rev. D 84 (2011) 024020; T. Harko, Phys. Rev. D 90(4) (2014) 044067] serves as the inspiration for the homogeneous and isotropic cosmological model presented in generalized [Formula: see text] theories connected with a scalar field. Assuming that [Formula: see text] is the trace of the energy-momentum tensor, [Formula: see text] gravity can be understood as [Formula: see text] gravity with a self-interacting scalar field [Formula: see text]. To address this, we provide a novel model-independent method for the parametrization of the Hubble parameter, and we apply it to the Friedmann equations in the FLRW Universe. The Markov Chain Monte Carlo (MCMC) approach is then used to estimate the best-fit values of the model parameters using a combination of the updated [Formula: see text] dataset, which comprises 57 points, and the Pantheon dataset, which contains 1048 points. The evolution of the deceleration parameter shows a transition from the universe’s deceleration phase to its acceleration phase. We also investigate the behavior of the statefinder and the Om diagnostic parameter. Finally, a thorough discussion of the model’s physical attributes has been carried out.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

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