Dynamics of evolving self-gravitating models in extended teleparallel gravity

The self-gravitating spherically symmetric fluid models are being studied taking power-law model in extended teleparallel (or f (T)) gravity. We form a set of governing equations which describes the dynamics of stellar evolution in the presence of torsion scalar (dark energy candidate) by incorporating power-law model in f (T) gravity along with dynamical terms like shear tensor, anisotropy, expansion scalar, dissipation, Weyl tensor and energy inhomogeneity. We explore some particular models of fluid according to various dynamical scenarios for particular values of model parameter n. It is found that torsion terms associated with vertical bar n vertical bar << 1,n not equal 0, 1, govern stellar evolution and provide deviation from theory of general relativity (GR). For the case, n = 0,1, tetrad field is almost negligible and the evolving models are consistent with GR model having cosmological constant. We obtain practicable rate of change of expansion and deformation of fluid models at 0 < vertical bar n vertical bar << 1.