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Static and spherically symmetric solutions in f(Q) gravity

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arxiv 2110.13565 v2 pith:6ZLEDDFX submitted 2021-10-26 gr-qc hep-th

Wenyi Wang , Hua Chen , Taishi Katsuragawa This is my paper · ORCID
classification gr-qchep-th
keywords gravitysolutionssymmetricexactgeneralsphericallystaticstgr
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f(Q) gravity is the extension of symmetric teleparallel general relativity (STGR), in which both curvature and torsion vanish, and gravity is attributed to nonmetricity. This work performs theoretical analyses of static and spherically symmetric solutions with an anisotropic fluid for general f(Q) gravity. We find that the off-diagonal component of the field equation due to a coincident gauge leads to stringent restrictions on the functional form of f(Q) gravity. In addition, although the exact Schwarzschild solution only exists in STGR, we obtain Schwarzschild-like solutions in nontrivial f(Q) gravity and study its asymptotic behavior and deviation from the exact one.

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Cited by 5 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. Solar system tests in covariant f(Q) gravity

    gr-qc 2024-12 conditional novelty 5.0 of 10

    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.

  3. 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.

  4. Maxwell-$f(Q)$ theory

    gr-qc 2025-01 conditional novelty 4.0 of 10

    A proposed new charged AdS black hole in f(Q) gravity, but the claimed absence of an uncharged limit and the charge-induced cosmological constant conflict with the paper's own formulas.

  5. Thermodynamic Consistency of Logarithmic Entropy Corrections on the Schwarzschild Branch of $f(\mathbb{Q})$ Gravity and a Superradiance No-Go Result

    gr-qc 2026-07 conditional novelty 3.5 of 10

    On the STEGR/Schwarzschild branch of f(Q) gravity, a fixed-geometry logarithmic entropy correction modifies only the first-law temperature, not Hawking temperature or scalar scattering, and its heat-capacity pole lies...

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