Matching Tetrads in f(T) gravity

FRANCO FIORINI; MARTÍN ONETTO

PHYSICAL REVIEW D - PARTICLE AND FILDS

APS

Lugar: New York; Año: 2021

0556-2821

The procedure underlying the matching of 1-forms (tetrad) fields in theories possessing absolute parallelism --f(T) gravity being within this category-- is addressed and exemplified. We show that the remnant symmetries of the intervening spaces play a central role in the process, because the knowledge of the remnant group of local Lorentz transformations enables to perform rotations and/or boosts in order to C^{1}-match the corresponding tetrads on the junction surface. This automatically ensures the continuity of the Weitzenbock scalar there, even though this proves to be just a necessary condition in order to obtain a global parallelization of the spacetime.