https://doi.org/10.1140/epjc/s10052-017-5394-4
Regular Article - Theoretical Physics
McVittie solution in f(T) gravity
1
Instituto de Astronomía y Física del Espacio (IAFE, CONICET-UBA), Casilla de Correo 67, Sucursal 28, 1428, Buenos Aires, Argentina
2
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
* e-mail: ferraro@iafe.uba.ar
Received:
28
July
2017
Accepted:
20
November
2017
Published online:
4
December
2017
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 but also for
, which could be a manifestation of the additional degrees of freedom involved in f(T) theories.
© The Author(s), 2017