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Generators of Local Lorentz Transformation in ADM-Vielbein Formalism of Gravitational Relativity

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arxiv 2412.00128 v2 pith:OECJNEP6 submitted 2024-11-28 gr-qc hep-th

Alireza Faraji , Zahra Molaee , Ahmad Shirzad This is my paper · ORCID
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keywords formalismlorentzadm-vielbeinconstraintsframeworklocalrelativitysymmetry
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General relativity contains 16 variables in the framework of ADM-Vielbein formalism which are 6 more than metric formalism. These variables emerge due to additional symmetry of Local Lorentz Transformations. In the framework of the Hamiltonian approach, it is expected to find first class constraints which generate this gauge symmetry. We introduce the complete form of such constraints and show that they exactly obey the algebra of the Lorentz group.

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Cited by 1 Pith paper

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  1. $f(T)$ 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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