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


Shekh S.H. Myrzakulov N. Bouali A. Pradhan A.
1 September 2023Institute of Physics

Communications in Theoretical Physics
2023#75Issue 9

Some recent developments (accelerated expansion) in the Universe cannot be explained by the conventional formulation of general relativity. We apply 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 method, we propose a method to determine the precise solutions to the field equations. We then observe 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 the statefinder analysis, equation of state (EoS) parameters, along with the energy conditions. Furthermore, to discuss other cosmological parameters, we consider some well-known f(T, B) gravity models, specifically, f(T, B) = aT b + cB d. Lastly, we find that the considered f(T, B) gravity models predict that the present Universe is accelerating and the EoS parameter behaves like the ΛCDM model.

cosmology , f(T, B) gravity , isotropic homogeneous space-time , statistical fitting of H(z) data

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Department of Mathematics, S.P.M. Science and Gilani Arts, Commerce College, Ghatanji Maharashtra, Yavatmal, 445301, India
L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Ratbay Myrzakulov Eurasian International Center for Theoretical Physics, Astana, 010009, Kazakhstan
Laboratory of Physics of Matter and Radiation, Mohammed I University, Oujda, BP 717, Morocco
Centre for Cosmology, Astrophysics and Space Science (CCASS), GLA University, Uttar Pradesh, Mathura, 281 406, India

Department of Mathematics
L.N. Gumilyov Eurasian National University
Ratbay Myrzakulov Eurasian International Center for Theoretical Physics
Laboratory of Physics of Matter and Radiation
Centre for Cosmology

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