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

2026/06/01 by G. G. L. Nashed, P. V. Tretyakov, A. Eid · 1 voice
Physics and Astronomy · #physics.gen-ph

paper · pdf · doi:10.1016/j.physletb.2026.140575

Abstract

We investigate the cosmological evolution associated with the quadratic symmetric teleparallel gravity framework, \( f(Q)=Q+αQ²+β\) where the relation \(Q∝ H²\) generates an additional \(H⁴\) contribution to the Friedmann equation. Using the exact algebraic solution for H(z), we reconstruct the effective dark-energy sector and compare the background evolution with ΛCDM using Type Ia supernovae, BAO, and cosmic-chronometer data. At the perturbative level, the model modifies the Poisson equation through a time-dependent effective gravitational coupling G_{\textrm eff}(z)=G[1+\tfrac23A E²(z)]^-1, where A=18αH₀². For α>0 this produces a weakened gravitational interaction, suppressing the linear growth factor D(z), the growth rate f(z), and the RSD observable fσ₈(z). In the nonlinear regime, the reduced gravitational strength increases the spherical-collapse threshold and suppresses the halo mass function, leading to a lower predicted value of S₈=σ₈√Ω_m/0.3. Thus, the quadratic f(Q) extension can reproduce mild deviations from ΛCDM at the background level while naturally alleviating the S₈ tension, offering a viable modified-gravity explanation for recent observational hints of dynamical dark energy.

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Discussions

• G. G. L. Nashed, P. V. Tretyakov, A. Eid: Late-Time Cosmology and Structure Formation in Quadratic $f(Q)$ Gravity https://arxiv.org/abs/2606.02660 https://arxiv.org/pdf/2606.02660 https://arxiv.org/ht [bsky, 0 points, 0 comments]

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