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.

arXiv comment6 pages, 2 figures, accepted for publication in Physics Letters B

References in corpus (37)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Cosmological Imprint of an Energy Component with General Equation of State
• Extended Theories of Gravity
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• The Cosmological Constant
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• f(T) teleparallel gravity and cosmology
• Dark torsion as the cosmic speed-up
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• Cosmography: Cosmology without the Einstein equations
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• Type Ia Supernova Distances at z > 1.5 from the Hubble Space Telescope Multi-Cycle Treasury Programs: The Early Expansion Rate
• Cosmic Complementarity: H_0 and Omega_m from Combining CMB Experiments and Redshift Surveys
• Cosmographic analysis of the equation of state of the universe through Padé approximations
• Testing $F(Q)$ gravity with redshift space distortions
• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• The Hubble series: Convergence properties and redshift variables
• On the theory and applications of modern cosmography
• High-redshift cosmography: auxiliary variables versus Padé polynomials
• Wormhole solutions in symmetric teleparallel gravity
• General covariant symmetric teleparallel cosmology
• Precision cosmology with Padé rational approximations: theoretical predictions versus observational limits
• Cosmographic analysis with Chebyshev polynomials
• Strong evidence for an accelerating universe
• Model-independent reconstruction of $f(T)$ teleparallel cosmology
• Kinematic model-independent reconstruction of Palatini $f(R)$ cosmology
• Effective field description of the Anton-Schmidt cosmic fluid
• Extended logotropic fluids as unified dark energy models
• Conformally Friedmann-Lemaitre-Robertson-Walker cosmologies

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• 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