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FRW in quadratic form of $f(T)$ gravitational theories
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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 $\omega\neq -1$ 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.
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Rotating and non-rotating AdS black holes in $f({\cal T})$ gravity non-linear electrodynamics
New charged AdS black hole solutions are constructed for quadratic f(T) gravity with a specific nonlinear electrodynamics source, generalizing earlier Maxwell solutions and producing entropy that deviates from the area law.
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