McVittie solution in f(T) gravity

CECILIA BEJARANO; RAFAEL FERRARO; MARÍA JOSÉ GUZMÁN

Encuentro; Third Argentinian-Brazilian Meeting on Gravitation, Astrophysics, and Cosmology - GrACo III; 2016

The McVittie solution could be significantly relevant in the astrophysical context since it is capable of including a black hole in a Friedmann-Robertson-Walker (FRW) universe. Describing a spherically symmetric spacetime parametrized by a constant parameter and a function of time, this solution can be reduced to a black hole geometry with constant mass m or a FRW cosmology with a scale factor a(t) in the appropiate limits. We analize this particularly interesting solution in the light of modified teleparallelism which is also known as f(T) gravity (a generalization of the Teleparallel Equivalent of General Relativity, following the analogy with f(R) gravity).