f(T, B) gravity with statistically fitting of H(z)

Abstract

Some recent developments (accelerated expansion) in the universe cannot be explained by the conventional formulation of general relativity. We applied the recently proposed $f(T,B)$ gravity to investigate the accelerated expansion of the universe. By parametrizing the Hubble parameter and estimating the best fit values of the model parameters $b_{0}$, $b_{1}$, and $b_{2}$ imposed from Supernovae type Ia, Cosmic Microwave Background, Baryon Acoustic Oscillation, and Hubble data using the Markov Chain Monte Carlo (MCMC) method, we propose a method to determine the precise solutions to the field equations. We then observed that the model appears to be in good agreement with the observations. A change from the deceleration to the acceleration phase of the universe is shown by the evolution of the deceleration parameter. In addition, we investigate the behavior of statefinder analysis, equation of state (EoS) parameters along with the energy conditions. Further, to discuss other cosmological parameters, we consider some well-known $f (T,B)$ gravity model, specifically, $f(T,B)=a T^b+c B^d$. Lastly, we found that the considered $f (T,B)$ gravity models predict that the present Universe is accelerating and the EoS parameter behaves like the $\Lambda$CDM model.