In this paper, we consider spatially homogeneous and anisotropic Bianchi type I universe in the context of F(T) gravity. We construct some corresponding models using conservation equation and equation of state parameter representing different phases of the universe. In particular, we take matter-dominated era, radiation-dominated era, present dark energy phase and their combinations. It is found that one of the models has a constant solution which may correspond to the cosmological constant. We also derive equation of state parameter by using two well-known F(T) models and discuss cosmic acceleration.
In this paper, we study static spherically symmetric wormhole solutions in extended teleparallel gravity with the inclusion of noncommutative geometry under Lorentzian distribution. We obtain expressions of matter components for non-diagonal tetrad. The effective energy-momentum tensor leads to the violation of energy conditions which impose condition on the normal matter to satisfy these conditions. We explore the noncommutative wormhole solutions by assuming a viable power-law f (T ) and shape function models. For the first model, we discuss two cases in which one leads to teleparallel gravity and other is for f (T ) gravity. The normal matter violates the weak energy condition for first case while there exist a possibility for micro physically acceptable wormhole solution. There exist a physically acceptable wormhole solution for the power-law b(r) model. Also, we check the equilibrium condition for these solutions which is only satisfied for teleparallel case while for f (T ) case, these solutions are less stable.
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