Abstract
Modified teleparallel gravity theory with the torsion scalar have recently gained a lot of attention as a possible explanation of dark energy. We perform a thorough reconstruction analysis on the so-called models, where is some general function of the torsion term, and derive conditions for the equivalence between of models with purely kinetic k-essence. We present a new class models of -gravity and k-essence. We also proposed some new models of generalized gases and knot universes as well as some generalizations of gravity.
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