Existence of relativistic stars in f(T) gravity
  We examine the existence of relativistic stars in f(T) modified gravity and
explicitly construct several classes of static perfect fluid solutions. We
derive the conservation equation from the complete f(T) gravity field equations
and present the differences with its teleparallel counterpart. Firstly, we
choose the tetrad field in the diagonal gauge and study the resulting field
equations. Some exact solutions are explicitly constructed and it is noted that
these solutions have to give a constant torsion scalar. Next, we choose a non
diagonal tetrad field which results in field equations similar to those of
general relativity. For specific models we are able to construct exact
solutions of these field equations. Among those new classes of solutions, we
find negative pressure solutions, and an interesting class of polynomial
solutions.
