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Observational constraints of $f(Q)$ gravity
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abstract
In this work, we consider an extension of symmetric teleparallel gravity, namely, $f(Q)$ gravity, where the fundamental block to describe spacetime is the nonmetricity, $Q$. Within this formulation of gravitation, we perform an observational analysis of several modified $f(Q)$ models using the redshift approach, where the $f(Q)$ Lagrangian is reformulated as an explicit function of the redshift, $f(z)$. Various different polynomial parameterizations of $f(z)$ are proposed, including new terms which would allow for deviations from the $\Lambda$CDM model. Given a variety of observational probes, such as the expansion rate data from early-type galaxies, Type Ia Supernovae, Quasars, Gamma Ray Bursts, Baryon Acoustic Oscillations data and Cosmic Microwave Background distance priors, we have checked the validity of these models at the background level in order to verify if this new formalism provides us with plausible alternative models to explain the late time acceleration of the universe. Indeed, this novel approach provides a different perspective on the formulation of observationally reliable alternative models of gravity.
Forward citations
Cited by 7 Pith papers
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Degenerate and connection-dependent cosmological sectors in f(Q,C) gravity
Connection field equations force a degenerate f(R)-equivalent sector of f(Q,C) cosmology in which three geometric connections coincide, and only nonzero integration constants make the connections physically distinct.
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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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Atomic clocks and gravitational waves as probes of non-metricity
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.
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Hubble tension: a short review of theoretical explanations
A comprehensive review finds no theoretical Hubble-tension solution yet passes all consistency tests; new early-dark-energy chains reach high H0 only when the SH0ES calibration is added.
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Decoupling perturbations from background in $f(Q)$ gravity: the square-root correction and the impact on the $\sigma_8$ tension
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.
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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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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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