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Covariant formulation of f(Q) theory
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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 8 Pith papers
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Degrees of freedom of a quadratic scalar-nonmetricity theory
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...
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Linear perturbations of symmetric teleparallel gravity on Minkowski background
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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Free fall in modified symmetric teleparallel gravity
In f(Q) gravity, free fall follows metric geodesics of the Levi-Civita connection, not autoparallel geodesics of the full connection.
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Solar system tests in covariant f(Q) gravity
Solar system data bound the parameter α in f(Q)=Q+αQ^n-2Λ gravity, with limits that depend strongly on the chosen affine connection.
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Neutron stars in $f(Q) = Q +\xi Q^2$ gravity
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.
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Properties of compact objects in quadratic non-metricity gravity
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.
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Inconsistencies of nonmetric Einstein-Dirac-Maxwell theories and a cure for geometric flows of f(Q) black ellipsoid, toroid and wormhole solutions
The paper formulates nonmetric Einstein-Dirac-Maxwell equations in f(Q) gravity and presents parametric off-diagonal black hole, wormhole, and toroid solutions generated by arbitrary functions, without explicit soluti...
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Bayesian and Machine-Learning Analyses of Nonminimal $f(Q)$ Gravity and $H_0$ Tension
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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