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arXiv · 1707.06637

McVittie solution in f(T) gravity

Cecilia Bejarano·Rafael Ferraro·María José Guzmán
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Abstract

We show that McVittie geometry, which describes a black hole embedded in a FLRW universe, not only solves 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.

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Cecilia Bejarano, Rafael Ferraro, María José Guzmán. 2018-01-05. McVittie solution in f(T) gravity. https://doi.org/10.1140/epjc%2Fs10052-017-5394-4

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