Cosmological Solutions of $f(T)$ Gravity
  In the cosmological scenario in $f\left( T\right) $ gravity, we find
analytical solutions for an isotropic and homogeneous universe containing a
dust fluid and radiation and for an empty anisotropic Bianchi I universe. The
method that we apply is that of movable singularities of differential
equations. For the isotropic universe, the solutions are expressed in terms of
a Laurent expansion, while for the anisotropic universe we find a family of
exact Kasner-like solutions in vacuum. Finally, we discuss when a nonlinear
$f\left( T\right) $-gravity theory provides solutions for the teleparallel
equivalence of general relativity and derive conditions for exact solutions of
general relativity to solve the field equations of an $f(T)$ theory.
