McVittie solution in f(T) gravity

GUZMÁN, MARÍA JOSÉ; GUZMÁN, MARÍA JOSÉ; FERRARO, RAFAEL; FERRARO, RAFAEL; BEJARANO, CECILIA; BEJARANO, CECILIA

EUROPEAN PHYSICAL JOURNAL C - PARTICLES AND FIELDS

SPRINGER

Año: 2017 vol. 77 p. 1 - 8

1434-6044

We show that McVittie 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.