Matching tetrads in f(T) gravity

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 Weitzenböck scalar there, even though this proves to be just a necessary condition in order to obtain a global parallelization of the spacetime.

6 pages, one figure. Final version published in PRD

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Cited by in corpus (8)

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• Black Holes in $f(T,B)$ Gravity: Exact and Perturbed Solutions
• The effective field theory approach to the strong coupling issue in $f(T)$ gravity
• Chronology protection in $f(T)$ gravity: the case of Gott's pair of moving cosmic strings
• Generalized Hidden Conformal Symmetry in Quadratic $f(T)$ Gravity
• New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In $f(R)$ Gravity
• Exact Analytical Taub-NUT like Solution in f(T) Gravity
• New Lorentzian Taub-NUT and Euclidean Eguchi-Hanson Solutions in $f(R)$ gravity