FRW in quadratic form of $f(T)$ gravitational theories

Abstract

We derive asymptote solution of a homogeneous and isotropic universe governed by the quadratic form of the field equation of $f(T)$ gravity. We explain how the higher order of the torsion can provide an origin for late accelerated phase of the universe in the FRW. The solution makes the scalar torsion $T$ to be a function of the cosmic time $t$. We show that for the equation of state $p=\omega \rho$ with $\omega \ne -1$ the scale factor represent late phase of universe. We perform the cosmological studies and show how the quadratic form of $f(T)$ effect on the behavior of these studies.

arXiv comment15 pages Latex, 4 figurs. arXiv admin note: substantial text overlap with arXiv:1403.0913, arXiv:1411.3293; text overlap with arXiv:1501.00621, arXiv:1501.02198, arXiv:1501.00103 by other authors

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