Exploring Observational Constraints on F(T,TG) Gravity with Hubble’s Parametrization | Chapter 8 | Current Research Progress in Physical Science Vol. 8

Newgravitational theories can be formulated using gauge theory with local Poincar´ e symmetry, which naturally leads to a spacetime with torsion. In this study, we explore a parametrization approach to the Hubble parameter within the framework of modified teleparallel Gauss-Bonnet gravity. This theory is based on the torsion invariant T and the teleparallel equivalent of the Gauss-Bonnet term T_G, forming the F(T ,T_G) gravity model. Notably, this modified gravity framework provides a unified explanation of cosmic evolution, encompassing early-time inflation and late time accelerated expansion, without requiring a cosmological constant. The results obtained from our analysis are consistent with recent cosmological observations, demonstrating a transition from a decelerating phase to an accelerating phase of cosmic expansion. By utilizing a combination of observational datasets, including Type Ia Supernovae(SNeIa), BaryonAcousticOscillations (BAO), Cosmic Microwave Background(CMB),andHubbleparameterH(z)measurements, wehaveconstrained the transition redshift z_t, which marks the epoch when the universe shifts from deceleration to acceleration. Furthermore, we have determined the best-fit value of z_t and compared the reconstructed evolution of the deceleration parameter q(z) and the equation of state parameter ω(z). The findings are in strong agreement with the standard ΛCDM model, reinforcing the validity of our approach.

 

Author (s) Details

 

S. H. Shekh
Department of Mathematics, S. P. M. Science and Gilani Arts, Commerce College, Ghatanji, Dist. Yavatmal, Maharashtra 445301, India.

 

N. Myrzakulov
Department of General and Theoretical Physics, L N Gumilyov Eurasian National University, Astana 010008, Kazakhstan and Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana 010009, Kazakhstan.

 

A. Pradhan
Centre for Cosmology, Astrophysics and Space Science (CCASS), GLA University, Mathura 281406, India.

A. Mussatayeva
Department of General and Theoretical Physics, L N Gumilyov Eurasian National University, Astana 010008, Kazakhstan and Department of Physics and Chemistry, S. Seifullin Kazakh Agrotechnical University, Astana 010011, Kazakhstan.

 

A. Bagde
Department of Mathematics, Late R. Bharti Arts, Commerce and Smt. S. R. Bharti Science College, Arni, Dist. Yavatmal, Maharashtra 445301, India.

 

Please see the book here:- https://doi.org/10.9734/bpi/crpps/v8/4453