Abstract
We investigate the Hamiltonian formulation of f(T) gravity and find that there are five degrees of freedom. The six first class constraints corresponding to the local Lorentz transformation in Teleparallel gravity become second class constraints in f(T) gravity, which leads to the appearance of three extra degrees of freedom and the violation of the local Lorentz invariance in f(T) gravity. In general, there are D − 1 extra degrees of freedom for f(T) gravity in D dimensions, and this implies that the extra degrees of freedom correspond to one massive vector field or one massless vector field with one scalar field.
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ArXiv ePrint: 1105.5934
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Li, M., Miao, RX. & Miao, YG. Degrees of freedom of f(T) gravity. J. High Energ. Phys. 2011, 108 (2011). https://doi.org/10.1007/JHEP07(2011)108
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DOI: https://doi.org/10.1007/JHEP07(2011)108