Abstract

We show that Mc Vittie geometry, which describes a black hole embedded in a FLRW universe, not only solves the Einstein equations but also remains as a non-deformable solution of f (T) gravity. This search for GR solutions that survive in f (T) gravity is facilitated by a null tetrad approach. We also show that flat FLRW geometry is a consistent solution of f (T) dynamical equations not only for T = -6H(2) but also for T = 0, which could be a manifestation of the additional degrees of freedom involved in f (T) theories.