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

Shukla, Bhupendra Kumar; Sofuoğlu, Değer; Mishra, Preeti

The f (R , T) 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 f (R , T ϕ) theories connected with a scalar field. Assuming that T ϕ is the trace of the energy-momentum tensor, f (R , T ϕ) gravity can be understood as f (R , T) gravity with a self-interacting scalar field ϕ. 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 H (z) 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.

HUBBLE constant; DARK energy; MARKOV chain Monte Carlo; SCALAR field theory; GRAVITY; FRIEDMANN equations

International Journal of Geometric Methods in Modern Physics, 2024, Vol 21, Issue 6, p1

0219-8878

Academic Journal

10.1142/S0219887824501135