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Article overview
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Degrees of freedom of $f(T)$ gravity | Miao Li
; Rong-Xin Miao
; Yan-Gang Miao
; | Date: |
30 May 2011 | 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. | Source: | arXiv, 1105.5934 | Services: | Forum | Review | PDF | Favorites |
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