Exploring cosmological evolution and constraints in f(T) teleparallel gravity

This study explores the extension of teleparallel gravity within the framework of general relativity, introducing an algebraic function f(T) dependent on the torsion scalar T. Motivated by the teleparallel formulation, we investigate cosmological implications, employing the simplest parametrization of the dark energy equation of state. Our chosen f(T) function, f(T) = alpha(-T)(n), undergoes stringent constraints using recent observational data (H(z), SNeIa, BAO, and CMB). The model aligns well with cosmic dynamics, exhibiting quintessence behavior. The evolution of the deceleration parameter, the behavior of dark energy components, and the Om(z) diagnostic further reveal intriguing cosmological phenomena, emphasizing the model's compatibility with quintessence scenarios.