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From the Lorentz invariant to the coframe form of $f(T)$ gravity

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arxiv 2312.14603 v1 pith:3EK7L5IF submitted 2023-12-22 gr-qc

Milutin Blagojević , James M. Nester This is my paper · ORCID
classification gr-qc
keywords formcoframegravityinvariantlagrangianlorentzanalysisapproach
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abstract

It is shown that the Lorentz invariant $f(T)$ gravity, defined by the coframe-connection-multiplier form of the Lagrangian, can be gauge-fixed to the pure coframe form. After clarifying basic aspects of the problem in the Lagrangian formalism, a more detailed analysis of this gauge equivalence is given relying on the Dirac Hamiltonian approach.

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Cited by 2 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. Revisiting Coincident GR in Internal STEGR Formulation

    gr-qc 2025-06 conditional novelty 5.0 of 10

    The paper derives internal-STEGR field equations, recovers coincident GR as the coincident-gauge sector, and finds that massive test particles obey a norm-flow equation instead of geodesics.

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