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Inverse nonmetricity in gravity: Cosmology and observational constraints
Phys. Rev. D 114, 024056 – Published 22 July, 2026
DOI: https://doi.org/10.1103/ts4w-xn8v
Abstract
We study a minimal modified gravity scenario in the symmetric teleparallel (nonmetricity) formulation, focusing on an inverse nonmetricity term with . The model does not introduce additional free parameters relative to the standard cosmological model , but modifies the late-time expansion and linear growth via an enhanced effective gravitational coupling. We identify key signatures: an enhanced matter power spectrum and cosmic microwave background (CMB) lensing, alongside a reduced late-time integrated Sachs-Wolfe effect and a shift in CMB peak positions. We confront the model with CMB data alone and in combination with baryon acoustic oscillations, redshift-space distortions, supernovae Ia, and DES large-scale structure data, considering both fixed minimal neutrino mass and varying . We find that the model typically prefers higher than , alleviating the tension, while its boosted growth tends to increase clustering amplitudes unless offset by larger neutrino masses when is free. Overall, CMB-only data provide at most weak statistical support compared to , whereas late-time measurements impose tight restrictions that largely remove any improvement, positioning this model as a minimal yet strongly constrained alternative to dark energy.
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