Remnant Symmetry, Propagation and Evolution in f(T) Gravity

Abstract

It was recently argued that f(T) gravity could inherit "remnant symmetry" from the full Lorentz group, despite the fact that the theory is not locally Lorentz invariant. Confusion has arisen regarding the implication of this result for the previous works, which established that f(T) gravity is pathological due to superluminal propagation, local acausality, and non-unique time evolution. We clarify that the existence of the "remnant group" does not rid the theory of these various problems, but instead strongly supports it.

Fixed typo. Version accepted by PRD

References in corpus (3)

• Einstein's Other Gravity and the Acceleration of the Universe
• Degrees of freedom of $f(T)$ gravity
• Problems of Massive Gravities

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• Inflation with teleparallelism: Can torsion generate primordial fluctuations without local Lorentz symmetry?
• Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity
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• More on Bianchi I spacetimes and f(T) gravity