Observational constraints on transit reconstructed Tsallis f(T) gravity

Abstract

At present, we are aware that some recent changes in the cosmos cannot be explained by the standard interpretation of general relativity. In order to do so, we used the reconstruction scheme for recently proposed [Formula: see text] gravity to look into the universe’s accelerated expansion. Here, we define the transit scale factor (TSF), a scale factor used to explain several geometrical and physical aspects. Then, using the Markov Chain Monte Carlo (MCMC) method, we estimate the best fit values for the model parameters imposed from data from Hubble’s, Standard candles and Uncorrelated BAO. The cosmos is moving from the deceleration phase into the acceleration phase, according to the evolution of the deceleration parameter. Also, we review the statefinder’s diagnostic elements [Formula: see text]. We came to the conclusion that the reconstructed [Formula: see text] models indicate that the universe is in an accelerating phase at [Formula: see text] and acts like quintessence models, and that it approaches [Formula: see text]CDM models at [Formula: see text] which seem to be in good accord with the observations.