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Hamiltonian structure of the teleparallel formulation of GR

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M. Blagojevic, I. A. Nikolic

High Energy Physics - Theory · Submitted 2 Feb 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim It is shown, without any gauge fixing, that the Hamiltonian has the generalized Dirac-ADM form, and constraints satisfy all the consistency requirements.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/0002022 (version 1)
Pith ID4HELETDN, Pith's permanent record of this paper and its review
CitationI. A. Nikolic, M. Blagojevic. "Hamiltonian structure of the teleparallel formulation of GR." arXiv:hep-th/0002022 (2000). https://pith.science/paper/4HELETDN
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,932 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.43 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.10 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We apply Dirac's Hamiltonian approach to study the canonical structure of the teleparallel form of general relativity without matter fields. It is shown, without any gauge fixing, that the Hamiltonian has the generalized Dirac-ADM form, and constraints satisfy all the consistency requirements. The set of constraints involves some extra first class constraints, which are used to find additional gauge symmetries and clarify the gauge structure of the theory.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We apply Dirac's Hamiltonian approach to study the canonical structure of the teleparallel form of general relativity without matter fields. contribution 0.81 0.95 0.07 asserted 0.86
s1 It is shown, without any gauge fixing, that the Hamiltonian has the generalized Dirac-ADM form, and constraints satisfy all the consistency requirements. result 1.00 0.92 0.59 asserted 1.00
s2 The set of constraints involves some extra first class constraints, which are used to find additional gauge symmetries and clarify the gauge structure of the theory. result 0.84 0.92 0.20 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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  • references and citing sentences
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  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We apply Dirac's Hamiltonian approach to study the canonical structure of the teleparallel form of general relativity without matter fields. It is shown, without any gauge fixing, that the Hamiltonian has the generalized Dirac-ADM form, and constraints satisfy all the consistency requirements. The set of constraints involves some extra first class constraints, which are used to find additional gauge symmetries and clarify the gauge structure of the theory.

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References
How the literature uses it

15 arXiv papers cite this in 41 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 23 sentences without a confident label

Uses its method or tool 1 paper
  • By making a 3+1 decomposition of spacetime in ADM variables we can express the Hamiltonian for teleparallel equivalent to general relativity [ref] .

    Teleparallel bigravity · Counting degrees of freedom · 0.83

Compares with it 1 paper
Cites it as support 3 papers
  • Furthermore, many works agree, through a Hamiltonian analysis, that the full nonlinear theory propagates 2 degrees of freedom [ref] .

    Review of the Hamiltonian analysis in teleparallel gravity · Possible conclusions from perturbation theory · 0.98

  • The constraint algebra satisfy the Lorentz algebra [ref] which is essential for realizing they are of first class.

    Teleparallel bigravity · Counting degrees of freedom · 0.97

  • This is consistent with the spin connection implementation in tegr where it represents dof associated with the Lorentz group and so cannot contribute to the number of dynamical equations for an arbitrary gravitational system [ref] .

    Teleparallel Gravity: From Theory to Cosmology · The TEGR action and field equations · 0.99

Cites it as background 8 papers

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