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Classification of Primary Constraints of Quadratic Non-Metricity Theories of Gravity

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arxiv 2007.05064 v2 pith:V77LU4IY submitted 2020-07-09 gr-qc astro-ph.COhep-th

Fabio D'Ambrosio , Lavinia Heisenberg This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords constraintsprimarytheoriesclassificationdifferentnon-metricityquadraticsectors
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We perform the ADM decomposition of a five-parameter family of quadratic non-metricity theories and study their conjugate momenta. After systematically identifying all possible conditions which can be imposed on the parameters such that different sets of primary constraints arise, we find that the five-parametric theory space can be compartmentalized into nine different sectors, based on the presence or absence of primary constraints. This classification allows to dismiss certain classes of theories as unphysical and invites further investigations into the remaining sectors, which may contain phenomenologically interesting modifications of General Relativity.

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Cited by 2 Pith papers

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  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. Linear perturbations of symmetric teleparallel gravity on Minkowski background

    gr-qc 2024-12 conditional novelty 6.0 of 10

    For the most general quadratic-in-nonmetricity STG action on Minkowski background, the linear perturbation analysis yields lower bounds of 2 to 10 propagating degrees of freedom depending on the coupling constants, wi...

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