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Covariant formulation of f(Q) theory

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arxiv 2104.02483 v3 pith:ULL3LI53 submitted 2021-04-05 gr-qc

Dehao Zhao This is my paper · ORCID
classification gr-qc
keywords theorysymmetricaffineconnectioncovariantgaugegeneralmetric
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In Symmetric Teleparallel General Relativity, gravity is attributed to the non-metricity. The so-called "coincident gauge" is usually taken in this theory so that the affine connection vanishes and the metric is the only fundamental variable. This gauge choice was kept in many studies on the extensions of Symmetric Teleparallel General Relativity, such as the so-called f(Q) theory. In this paper, we point out that sometimes this will make the f(Q) theory inconsistent. To circumvent this problem, we reformulate the f(Q) theory in a covariant way with which we can find suitable non-vanishing affine connection for a given metric. We also apply this method to two important cases: the spherically symmetric spacetime and the homogeneous and isotropic expanding universe.

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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 $f(Q) = Q +\xi Q^2$ gravity

    gr-qc 2026-07 conditional novelty 4.5 of 10

    In f(Q)=Q+ξQ² gravity with realistic EOSs, negative ξ increases neutron-star maximum masses while positive ξ decreases them, with exterior spacetime remaining Schwarzschild.

  3. Properties of compact objects in quadratic non-metricity gravity

    gr-qc 2025-07 reject novelty 4.0 of 10

    Quadratic non-metricity gravity with a fitted coupling ξ can match PSR J0740+6620 while keeping the radial sound speed below c²/3, according to the paper's chosen metric ansatz.

  4. Bayesian and Machine-Learning Analyses of Nonminimal $f(Q)$ Gravity and $H_0$ Tension

    gr-qc 2025-11 reject novelty 3.0 of 10

    A nonminimal f(Q) gravity model fitted to CC, DESI BAO and three supernova samples gives H0 ≈ 68 km/s/Mpc, similar to ΛCDM, and is disfavored by BIC.

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