Model-independent reconstruction of $f(Q)$ non-metric gravity

Abstract

We consider gravity mediated by non-metricity, with vanishing curvature and torsion. The gravitational action, including an arbitrary function of the non-metric scalar, is investigated in view of characterizing the dark energy effects. In particular, we present a method to reconstruct the $f(Q)$ action without resorting to \emph{a priori} assumptions on the cosmological model. To this purpose, we adopt a method based on rational Padé approximations, which provides a stable behaviour of the cosmographic series at high redshifts, alleviating the convergence issues proper of the standard approach. We thus describe how to reconstruct $f(Q)$ through a numerical inversion procedure based on the current observational bounds on cosmographic parameters. Our analysis suggests that the best approximation for describing the accelerated expansion of the universe is represented by a scenario with $f(Q)=\alpha +\beta Q^n$. Finally, possible deviations from the standard $\Lambda$CDM model are discussed.

6 pages, 2 figures, accepted for publication in Physics Letters B

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Cited by in corpus (14)

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• New models and Big Bang Nucleosynthesis constraints in $f(Q)$ gravity
• FLRW solutions in $f(Q)$ theory: the effect of using different connections
• Paramerization of deceleration parameter in $f(Q)$ gravity
• Anisotropic Strange Star Model Beyond Standard Maximum Mass Limit by Gravitational Decoupling in $f(Q)$ Gravity
• Forecasting constraints on deviations from general relativity in $f(Q)$ gravity with standard sirens
• Phantom cosmological model with observational constraints in $f(Q)$ gravity
• ADM formulation and Hamiltonian analysis of $f(Q)$ gravity
• Quintessence Behaviour of an Anisotropic Bulk Viscous Cosmological Model in Modified $f(Q)$-Gravity
• The phase-space view of non-local gravity cosmology
• Bianchi type-I Barrow holographic dark energy model in symmetric teleparallel gravity
• Black hole thermodynamics from logotropic fluids
• Bulk viscous fluid in symmetric teleparallel cosmology: theory versus experiment
• Quintessence like behavior of symmetric teleparallel dark energy: Linear and nonlinear model