Cosmographic admissibility and weak-field recovery in an analytic infrared-completed f(Q) gravity model
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1142/s0219887826503160
- Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Technology Collection (ProQuest)
- İstanbul Üniversitesi Adresli: Evet
Özet
In this paper, we construct and test an analytic infrared-completed f(Q) gravity model through an admissibility chain that combines cosmographic, background-observational, and local solar-system diagnostics. The analysis is carried out in a clearly specified symmetric teleparallel setting: the cosmological evolution is evaluated in the spatially flat Friedmann-Lema & icirc;tre-Robertson-Walker (FLRW) coincident branch, while the solar-system sector is formulated separately in the local weak-field and approximately spherically symmetric branch. The model is an analytic deformation of symmetric teleparallel equivalent of general relativity (STEGR) whose correction sector starts at order Q(2) near Q = 0 and saturates at large Q/Q star, thereby preserving the leading low-Q normalization and suppressing large deviations during the matter-dominated regime. Its coefficients are fixed algebraically by E(0) = 1 and the present deceleration parameter q0, so the background branch contains no hidden fitting freedom once (Omega(m0),q(0)) are specified. We derive the modified Friedmann equation, the regularity function & Dscr;, and the calibration formulae, and we map the admissible region under branch continuity, f(Q) > 0, & Dscr; > 0, present acceleration, and matter-era recovery. Beyond the deceleration parameter, we compute the jerk hierarchy j(z) and the Om(z) diagnostic, finding for the fiducial branch zt similar or equal to 1.026 and j0 similar or equal to 0.516. We also benchmark the calibrated branch against cosmic-chronometer H(z) data and supernova- and Baryon Acoustic Oscillation (BAO)-style distance residuals relative to Lambda CDM. Finally, we evaluate the local non-metricity scale at solar-system radii, recover the Newtonian limit at O(v(2)), compare the resulting Parametrized Post-Newtonian (PPN) envelope with the Cassini/Shapiro and perihelion-level scales, and report the solar-system-filtered admissible region. The resulting framework provides a compact and reproducible admissibility pipeline linking analytic f(Q) model building, extended cosmography, background data diagnostics, and local weak-field consistency.