Non-trivial Minkowski backgrounds in f(T) gravity

Abstract

Boosted and rotated tetrad backgrounds for the Minkowski space are studied in $f(T)$ gravity. We perform Lorentzian perturbations at first order around non-trivial backgrounds and show that some Lorentz modes can exhibit non-trivial dynamics and can propagate in time. This remarkable feature gives evidence of additional mode(s) in the Lorentzian sector which have no precedent in Lorentz-violating modified gravities, however they can cast doubts onto even theoretical viability of these models.

10 pages, no figures, comments welcome; additional discussion added

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Cited by in corpus (7)

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• Thick accretion disk configurations in the Born-Infeld teleparallel gravity
• The Gauss-Bonnet topological scalar in the Geometric Trinity of Gravity
• Role of the remnant symmetries in gravitational theories based on absolute parallelism: a 2D standpoint