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arXiv · 2103.13903

Matching tetrads in f(T) gravity

Franco Fiorini·Martín Onetto
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Abstract

The procedure underlying the matching of 1-form (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 one to perform rotations and/or boosts in order to $\mathcal{C}^{1}$-match the corresponding tetrads on the junction surface. This automatically ensures the continuity of the Weitzenb\"{o}ck scalar there, even though this proves to be just a necessary condition in order to obtain a global parallelization of the spacetime.

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Franco Fiorini, Martín Onetto. 2021-03-25. Matching tetrads in f(T) gravity. https://doi.org/10.1103/physrevd.103.084051

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