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ADM formulation and Hamiltonian analysis of Coincident General Relativity

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arxiv 2007.03261 v1 pith:FCTB3YKC submitted 2020-07-07 gr-qc astro-ph.COhep-th

Fabio D'Ambrosio , Mudit Garg , Lavinia Heisenberg , Stefan Zentarra This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords relativityformulationgeneralanalysiscoincidentdegreesfreedomhamiltonian
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We consider a simpler geometrical formulation of General Relativity based on non-metricity, known as Coincident General Relativity. We study the ADM formulation of the theory and perform a detailed Hamiltonian analysis. We explicitly show the propagation of two physical degrees of freedom, as it should, even though the role of boundary terms and gauge conditions is significantly altered. This might represent an alternative promising new route for numerical relativity and canonical quantum gravity. We also give an outlook on the number of propagating degrees of freedom in non-linear extension of non-metricity scalar.

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Cited by 4 Pith papers

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

  1. 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...

  2. Neutron stars in $f(\mathbb{Q})$ gravity

    gr-qc 2025-12 conditional novelty 6.0 of 10

    For f(Q)=Q+αQ² and f(Q)=Q^β, neutron-star solutions that admit power-series expansions at the center or at infinity collapse to General Relativity; genuine beyond-GR effects must be non-analytic.

  3. Dynamical systems approach and cosmological attractors in newer general relativity

    gr-qc 2025-05 conditional novelty 6.0 of 10

    In vacuum flat cosmology, type 1 newer general relativity cannot drive late-time acceleration, while type 2 theories produce either phantom or non-phantom dark energy depending on the sign of one free parameter.

  4. 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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