McVittie solution in f(T) gravity

RAFAEL FERRARO; CECILIA BEJARANO; MARÍA JOSÉ GUZMÁN MONSALVE

Rio de Janeiro

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

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 parameterized 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 appropriate limits. We analyze 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).