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Local symmetries and physical degrees of freedom in $f(T)$ gravity: a Dirac Hamiltonian constraint analysis

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arxiv 2006.15303 v4 pith:UCLJVZEB submitted 2020-06-27 gr-qc hep-th

Milutin Blagojević , James M. Nester This is my paper · ORCID
classification gr-qchep-th
keywords analysisdegreesfreedominvariancelocalnumberphysicalgravity
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abstract

In the literature on $f(T)$ gravity, the status of local Lorentz invariance and the number of physical degrees of freedom have been controversial issues. Relying on a detailed Hamiltonian analysis, we show that there are several scenarios describing how local Lorentz invariance can be broken, but in the generic case, the number of physical degrees of freedom is found to be $N^*=5$; in $D$ dimensions, this number is $N^*=D(D-3)/2+(D-1)$. As expected, the theory is vulnerable to having problematical propagating modes. We compare our results with those existing in the literature. As a byproduct of our analysis, the diffeomorphysm invariance is explicitly confirmed.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cosmological Perturbation in New General Relativity: Propagating mode from the violation of local Lorentz invariance

    gr-qc 2025-09 conditional novelty 7.0 of 10

    In New General Relativity on a flat expanding universe, the propagating spectrum is computed for all nine types, with Type 3 carrying five stable tensor, scalar, and vector modes.

  2. Degrees of freedom of a quadratic scalar-nonmetricity theory

    gr-qc 2025-12 conditional novelty 6.0 of 10

    In quadratic scalar-nonmetricity gravity, Hamiltonian analysis shows 10, 8, and 8 degrees of freedom for cases II, V, and VI, while linear cosmological perturbation theory sees only 10, 6, and 5, indicating hidden str...

  3. $f(T)$ Gravity: Background Dependence and Propagating Degrees of Freedom

    gr-qc 2025-02 conditional novelty 6.0 of 10

    By perturbing f(T) gravity around FLRW and Bianchi I spacetimes, the authors find that only the two gravitational-wave polarizations propagate in the gravity sector.

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