Crossing phantom divide in $f(Q)$ gravity

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.

arXiv commentAnnalen der Physik accepted version

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• Constant sound speed and its thermodynamical interpretation in $f(Q)$ gravity
• Phase-space analysis of a novel cosmological model in $f(Q)$ theory
• Correction to Lagrangian for Bouncing Cosmologies in $f(Q)$ Gravity
• How different connections in flat FLRW geometry impact energy conditions in $f(Q)$ theory?
• Equivalence of $f(Q)$ cosmology with quintom-like scenario: the phantom field as effective realization of the non-trivial connection
• Modified $f(Q)$ gravity models and their cosmological consequences
• A model-independent method with phantom divide line crossing in Weyl-type $f(Q,T)$ gravity
• $f(Q,L_m)$ gravity, and its cosmological implications
• Cosmological dynamics and observational constraints on a viable $f(Q)$ non-metric gravity model
• Maxwell-$f(Q)$ theory
• Reconstruction of the scalar field potential in nonmetricity gravity through Gaussian processes
• Mimetic-$f(Q)$ gravity: cosmic reconstruction and energy conditions
• Cosmological dynamics of interacting dark energy and dark matter in $f(Q)$ gravity
• Bayesian and Machine-Learning Analyses of Nonminimal $f(Q)$ Gravity and $H_0$ Tension