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Review on f(Q) Gravity

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arxiv 2309.15958 v1 pith:PTVETQZF submitted 2023-09-27 gr-qc astro-ph.COastro-ph.GAhep-phhep-th

Review on $f(Q)$ Gravity

classification gr-qc astro-ph.COastro-ph.GAhep-phhep-th
keywords gravityblackcosmologydarkexcitingextensionsgeneralgeometrical
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

Recent years have witnessed a rise in interest in the geometrical trinity of General Relativity and its extensions. This interest has been fuelled by novel insights into the nature of gravity, the possibility to address computational and conceptual questions -- such as the determination of black hole entropy or the definition of gravitational energy-momentum -- from a new perspective. In particular, $f(Q)$ gravity has also inspired numerous works on black holes, wormholes, and cosmology. In the latter case, $f(Q)$ models have the potential to elucidate phenomena in both early and late-time cosmology without necessitating the inclusion of dark energy, the inflaton field, or dark matter. Particularly noteworthy is the role of $f(Q)$ theories in addressing cosmological tensions, presenting exciting possibilities for reshaping our understanding of gravity and its manifestations in cosmology. The emergence of intriguing new black hole solutions and the potential existence of wormhole solutions suggest the presence of novel physics within the realm of strong gravity. These phenomena have become increasingly measurable only in recent times, opening up exciting avenues for further exploration and discovery. This review is tailored to students and researchers alike. It offers a self-contained and pedagogical introduction to metric-affine geometry--The mathematical foundation and indispensable tool upon which the geometrical trinity of General Relativity as well as its various extensions are built.

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Cited by 33 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Cosmologically viable non-polynomial quasi-topological gravity: explicit models, $\Lambda$CDM limit and observational constraints

    gr-qc 2026-04 unverdicted novelty 7.0

    Non-polynomial quasi-topological gravity models reproduce the standard thermal history, generate dynamical dark energy of geometric origin, and fit supernova, cosmic chronometer, and BAO data competitively with ΛCDM.

  2. Rotating Black Holes with Primary Scalar Hair: Shadow Signatures in Beyond Horndeski Gravity

    gr-qc 2026-02 unverdicted novelty 7.0

    Rotating black holes with primary scalar hair in beyond Horndeski gravity produce shadows whose diameter increases for negative Q and whose distortion increases for positive Q, with EHT bounds on M87* restricting but ...

  3. 3-dimensional charged black holes in $f({Q})$ gravity

    gr-qc 2025-06 conditional novelty 7.0

    New exact charged black hole solutions in (2+1)D f(Q) gravity with cubic form yield a novel AdS solution without GR counterpart, with multiple horizons, stable thermodynamics, and stable photon orbits.

  4. Foldy--Wouthuysen Transformation of the Generalized Dirac Equation in Symmetric Teleparallel Gravity

    gr-qc 2026-07 conditional novelty 6.0

    A Foldy-Wouthuysen reduction of the generalized Dirac equation in symmetric teleparallel gravity produces new spin-gravity, spin-momentum-gravity, and tidal couplings controlled by unknown parameters.

  5. Light propagation and intensity transport in metric-affine geometry

    gr-qc 2026-07 conditional novelty 6.0

    Electromagnetic sectors built from projectively invariant torsion and non-metricity can modify light cones, intensity transport, and polarization structure in geometric optics.

  6. Scale-invariant Schr\"{o}dinger geometry in symmetric teleparallel gravity

    gr-qc 2026-07 conditional novelty 6.0

    A quadratic nonmetricity action of Schrödinger type is locally scale-invariant exactly when its Palatini connection equations admit the length-preserving Schrödinger connection.

  7. From Big Bang Nucleosynthesis to Late-Time Acceleration in $f(Q,L_m)$ Gravity

    gr-qc 2026-04 unverdicted novelty 6.0

    The f(Q, L_m) gravity model fits observational data from BBN to late-time acceleration, acting as a viable quintessence-like alternative to the standard LambdaCDM model.

  8. Observational constraints on Luciano-Saridakis entropic cosmology

    astro-ph.CO 2026-03 unverdicted novelty 6.0

    First background-level constraints on Luciano-Saridakis entropic cosmology using CC, Pantheon+ with SH0ES, DESI DR2 BAO and compressed Planck data show robust fit, 2sigma exclusion of LambdaCDM, and potential Hubble t...

  9. Degrees of freedom of a quadratic scalar-nonmetricity theory

    gr-qc 2025-12 conditional novelty 6.0

    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...

  10. Neutron stars in $f(\mathbb{Q})$ gravity

    gr-qc 2025-12 conditional novelty 6.0

    For f(Q)=Q+αQ² and f(Q)=Q^β, neutron-star solutions that admit power-series expansions at the center or at infinity collapse to General Relativity; genuine beyond-GR effects must be non-analytic.

  11. Gravitational wave echoes as probes of the maximum mass of strange stars in quadratic curvature-matter coupled gravity

    gr-qc 2026-07 reject novelty 5.0

    In f(R+αR²,T) gravity with tuned parameters, MIT-bag strange stars can exceed the compactness needed for photon spheres and would produce kHz gravitational-wave echoes.

  12. Distance duality relation in symmetric teleparallel gravity

    gr-qc 2026-06 unverdicted novelty 5.0

    In symmetric teleparallel f(Q) gravity with nonminimal EM-nonmetricity coupling, the distance duality relation is dynamically violated, yielding a generalized formula relating observational distances to the Hubble rate.

  13. Rotating traversable wormholes and particle dynamics in $f(R,T)$ gravity

    gr-qc 2026-05 unverdicted novelty 5.0

    Rotating traversable wormholes in f(R,T) gravity are supported by anisotropic fluid satisfying null and strong energy conditions in the slow-rotation approximation, with particle dynamics and gravitational lensing analyzed.

  14. Extrinsic geometry and Hamiltonian analysis of symmetric teleparallel gravity

    gr-qc 2026-04 unverdicted novelty 5.0

    Symmetric teleparallel gravity has the same number of degrees of freedom as general relativity, confirmed via its Hamiltonian formulation after deriving generalized extrinsic geometry relations.

  15. Beyond the Cosmological Constant: Breaking the Geometric Degeneracy of $ f(Q) $ cosmology via Redshift-Space Distortions

    gr-qc 2026-04 unverdicted novelty 5.0

    Hybrid f(Q) cosmology with a 1/Q term is forced into background degeneracy with LambdaCDM but breaks it in the growth sector, yielding moderate preference over LambdaCDM when RSD data are included while leaving the ba...

  16. Symmetric teleparallel gravitational effects on solar neutrino oscillations

    gr-qc 2026-02 conditional novelty 5.0

    Three non-metricity couplings of symmetric teleparallel gravity would imprint on solar neutrino oscillation phases — a2/a4 only for opposite spin orientations, b3 as a universal mass shift — with bounds set by current...

  17. Atomic clocks and gravitational waves as probes of non-metricity

    gr-qc 2026-01 reject novelty 5.0

    The paper claims existing gravitational-wave data already bound Weyl non-metricity, α²ω̄0<10⁻⁶⁹ GeV, via backreaction of a Planck-scale Weyl field, but a dropped kinetic term numerically exceeds the assumed sensitivity.

  18. Static plane symmetric solutions in $f(Q)$ gravity

    gr-qc 2025-12 unverdicted novelty 5.0

    f(Q) gravity yields Taub-de Sitter-like plane symmetric vacuum solutions, and quadratic models support isotropic slabs where maximum pressure is offset from the center with thickness and pressure increasing for negative α.

  19. Constraints on Logarithmic Model Extensions of Symmetric Teleparallel Gravity

    astro-ph.CO 2025-08 conditional novelty 5.0

    Two new logarithmic f(Q) gravity models fit current cosmological data and predict contrasting, testable deviations in the effective gravitational coupling and gravitational-wave damping.

  20. Neutron stars in $f(Q) = Q +\xi Q^2$ gravity

    gr-qc 2026-07 conditional novelty 4.5

    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.

  21. ACT-DR6 consistent inflation in generalised entropic cosmology and $f(Q)$ gravity

    gr-qc 2026-07 conditional novelty 4.0

    Reconstruction produces explicit f(Q) and generalised-entropic inflation models (and scalar-coupled versions) whose slow-roll parameters match ACT-DR6 + Planck-BAO constraints on n_s and r.

  22. Late-Time Cosmology and Structure Formation in Quadratic $f(Q)$ Gravity

    physics.gen-ph 2026-06 unverdicted novelty 4.0

    Quadratic f(Q) gravity adds an H^4 term to the Friedmann equation and introduces a time-dependent G_eff that suppresses linear growth and halo abundance, offering a modified-gravity route to easing the S8 tension.

  23. Astrophysical Objects in Modified Theories of Gravity

    gr-qc 2026-05 unverdicted novelty 4.0

    The work constructs analytical compact-star solutions in torsion- and nonmetricity-based gravity and shows that modified-gravity parameters can alter maximum mass and stability while remaining compatible with NICER ob...

  24. Decoupling perturbations from background in $f(Q)$ gravity: the square-root correction and the impact on the $\sigma_8$ tension

    astro-ph.CO 2025-12 conditional novelty 4.0

    A sqrt(Q) correction in f(Q) gravity suppresses structure growth without altering the expansion history; fitted to RSD/DESI data it can bring sigma8 into agreement with Planck, at the cost of a sigma8-M degeneracy.

  25. Dynamical Dark Energy or Modified Gravity? Signatures in Gravitational Wave Propagation

    gr-qc 2025-09 conditional novelty 4.0

    Reconstructing the dark energy density from DESI BAO and DESyr5 supernovae, then recasting it as f(Q) gravity, predicts a low-redshift gravitational wave damping ν≈0.18 (≳2σ from GR) only for the DESyr5 dataset.

  26. Traversable Wormhole Solutions in massive $F(T)$ gravity

    gr-qc 2025-08 unverdicted novelty 4.0

    In massive F(T) gravity, exact traversable wormhole solutions exist whose throats are supported by the graviton mass term, with matter that satisfies standard energy conditions in selected parameter ranges.

  27. Astrophysical Objects in Modified Theories of Gravity

    gr-qc 2026-05 unverdicted novelty 3.0

    Develops compact star models in f(Q) and f(T) gravity and constrains parameters with Bayesian fitting to observational data.

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

    gr-qc 2025-11 reject novelty 3.0

    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.

  29. Wormholes with low energy density

    physics.gen-ph 2025-08 reject novelty 3.0

    Low-energy-density wormholes can be macroscopic in f(Q) gravity only because the free parameter α is chosen small, a result already present in the author's Ref [21].

  30. The Quintom theory of dark energy after DESI DR2

    astro-ph.CO 2025-05 unverdicted novelty 3.0

    This review traces the history of dynamical dark energy, presents the no-go theorem against single-field crossing of w = -1, and surveys viable Quintom constructions including multi-field models and modified gravity i...

  31. A short review on Quintom dark energy theory

    astro-ph.CO 2026-05 conditional novelty 2.0

    A review arguing that current DESI/DES data favor Quintom-B dark energy, where the equation of state crosses w=-1 from below to above, with applications to bounces and CMB birefringence.

  32. Cosmological solutions in $f(Q)$ gravity via Noether symmetry approach

    gr-qc 2025-10 reject novelty 2.0

    Noether symmetry in f(Q) gravity yields only the standard pure power-law Lagrangian f(Q) ∝ Q^p, and the claimed power-law solutions, stability table, and Planck consistency fail the paper's own equations.

  33. A short review on Quintom dark energy theory

    astro-ph.CO 2026-05 unverdicted

    Quintom dark energy models permit the equation of state to cross w=-1, supporting bouncing cosmologies and CMB-based tests of dark energy nature.