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Crossing phantom divide in $f(Q)$ gravity
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abstract
We investigate the possibility of crossing a phantom divide line in the extension of symmetric teleparallel gravity or the $f(Q)$ gravity, where $Q$ is the non-metricity. We study the cosmic evolution of the effective equation of state parameter for dark energy considering exponential, logarithmic, and combined $f(Q)$ theories. Moreover, the exponential model behaves like the $\Lambda$CDM at high redshifts before deviating to $\omega_{eff}<-1$ or $\omega_{eff}>-1$, respectively, depending on the value of model parameter. It also approaches a de-sitter phase asymptotically. However, the crossing of the phantom divide line, i.e., $\omega= -1$, is realized in the combined $f(Q)$ theory. Furthermore, statefinder diagnostics are studied in order to differentiate between several dark energy models. To ensure the three model's stability, we employ the stability analysis using linear perturbations. We demonstrate how to reassemble $f(Q)$ via a numerical inversion approach based on existing observational constraints on cosmographic parameters and the potential of bridging the phantom divide in the resulting model. It explicitly demonstrates that future crossings of the phantom dividing line are a generic feature of feasible $f(Q)$ gravity models.
Forward citations
Cited by 5 Pith papers
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Realization of quintom dark energy after DESI DR2 in Nieh-Yan modified teleparallel gravity
Coupling a single fluid or scalar dark energy to the Nieh-Yan density removes its unstable perturbation, allowing a healthy quintom-B crossing and predicting gravitational-wave velocity birefringence.
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Constraints on Logarithmic Model Extensions of Symmetric Teleparallel Gravity
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.
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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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Maxwell-$f(Q)$ theory
A proposed new charged AdS black hole in f(Q) gravity, but the claimed absence of an uncharged limit and the charge-induced cosmological constant conflict with the paper's own formulas.
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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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