Non trivial frames for f(T) theories of gravity and beyond

Abstract

Some conceptual issues concerning $f(T)$ theories --a family of modified gravity theories based on absolute parallelism-- are analyzed. Due to the lack of local Lorentz invariance, the autoparallel frames satisfying the field equations are evasive to an \emph{a priori} physical understanding. We exemplify this point by working out the vierbein (tetrad) fields for closed and open Friedmann-Robertson-Walker cosmologies.

7 pages, 3 figures, some references added. Accepted for publication in Phys. Lett. B. Final Version

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