Degrees of freedom of f(T) gravity

By Miao Li, R. Miao, Y. Miao. 2011

218 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/59c54ad5804195e32330ca9785e59f611be3ef6e

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Citations in the corpus

Teleparallel theories of gravity: illuminating a fully invariant approach (2018, background): “[135] M.”
Observational constraints on teleparallel dark energy (2011, background): “An interesting and necessary investigation would be to go beyond the background analysis, and examine observables that arise at the perturbation level, such are the growth of matter overdensities and the gravitational-wave spectrum, since these could also clarify possible Lorentz-violation problems ”
Generalized second law of thermodynamics in f(T) gravity (2012, background): “Recently, a new modified gravity theory namely the so-called f(T ) theory [4]–[13] was proposed to describe the present accelerating expansion of the universe without resorting to DE.”