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Spherically symmetric configuration in $f(Q)$ gravity

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arxiv 2105.01484 v3 pith:P6MMROG7 submitted 2021-05-04 gr-qc

Rui-Hui Lin , Xiang-Hua Zhai This is my paper · ORCID
classification gr-qc
keywords gravityalphasolutionsexternalgeneralinternalmodificationrelativity
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abstract

General relativity can be formulated equivalently with a non-Riemannian geometry that associates with an affine connection of nonzero nonmetricity $Q$ but vanishing curvature $R$ and torsion $T$. Modification based on this description of gravity generates the $f(Q)$ gravity. In this work we explore the application of $f(Q)$ gravity to the spherically symmetric configurations. We discuss the gauge fixing and connections in this setting. We demonstrate the effects of $f(Q)$ by considering the external and internal solutions of compact stars. The external background solutions for any regular form of $f(Q)$ coincide with the corresponding solutions in general relativity, i.e., the Schwarzschild-de Sitter solution and the Reissner-Nordstr\"om-de Sitter solution with an electromagnetic field. For internal structure, with a simple model $f(Q)=Q+\alpha Q^2$ and a polytropic equation of state, we find that a negative modification ($\alpha<0$) provides support to more stellar masses while a positive one ($\alpha>0$) reduces the amount of matter of the star.

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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. Cosmological Constraints on the DGP Model in light of DESI DR2 2025 Data

    astro-ph.CO 2026-07 accept novelty 4.0 of 10

    DESI DR2 combined with CC, SNIa and CMB priors give H0≈63–64 km s−1 Mpc−1 for flat/non-flat DGP and ΔAIC>100 against ΛCDM, strongly disfavoring the model.

  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. Study on physical properties and characteristics of an anisotropic compact star model using Karmarkar Condition in F(Q) gravity

    gr-qc 2025-05 reject novelty 3.0 of 10

    A Karmarkar-based anisotropic star model in linear F(Q) gravity is fitted to Cen X-3, but its own equations and tables disagree.

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