Hybrid Expansion Cosmology in f(T) Gravity: Late-Time Evolution and Observational Bounds

Abstract

This study investigates the cosmological dynamics of an accelerating universe within the framework of teleparallel gravity using an exponential f(T) functional form. To obtain exact cosmological solutions, a hybrid scale factor is employed to model the smooth transition from an early decelerated phase to the present accelerated expansion of the Universe. The physical consistency of the model is analyzed through classical energy conditions and cosmographic parameters. By constraining the model parameters using 31 Hubble data points, we find that the resulting matter-energy density and pressure evolution remain consistent with the observed cosmic acceleration. Diagnostic analysis confirms that the model remains within the quintessence regime and asymptotically approaches the ΛCDM scenario.