Is cosmography a useful tool for testing cosmology?

Abstract

Model-independent methods in cosmology has become an essential tool in order to deal with an increasing number of theoretical alternatives for explaining the late-time acceleration of the Universe. In principle, this provides a way of testing the Cosmological Concordance (or $\Lambda$CDM) model under different assumptions and ruling out whole classes of competing theories. One such model-independent method is the so-called cosmographic approach, which relies only on the homogeneity and isotropy of the Universe on large scales. We show that this method suffers from many shortcomings, providing biased results depending on the auxiliary variable used in the series expansion and is unable to rule out models or adequately reconstruct theories with higher-order derivatives in either the gravitational or matter sector. Consequently, in its present form, this method seems unable to provide reliable or useful results for cosmological applications.

8 pages, 5 figures, version published in PRD

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• Model-independent limits and constraints on extended theories of gravity from cosmic reconstruction techniques
• Unveiling cosmography from the dark energy equation of state
• Theoretical and observational constraints of viable f(R) theories of gravity
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• Isotropy of low redshift type Ia Supernovae: A Bayesian analysis
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• New Generalizations of Cosmography Inspired by the Pade Approximant
• Constraining the dark energy statefinder hierarchy in a kinematic approach
• Constraining extended teleparallel gravity via cosmography: A model-independent approach
• Cosmographic Footprints of Dynamical Dark Energy
• {\it Gauging} the cosmic acceleration with recent type Ia supernovae data sets
• A note on the relations between thermodynamics, energy definitions and Friedmann equations
• Redshift Drift in $f(R,T)$ Gravity
• High-redshift cosmography with a possible cosmic distance duality relation violation
• Constraints on Cosmographic Functions of Cosmic Chronometers Data Using Gaussian Processes
• Constraints on kinematic parameters at $z\ne 0$
• Cosmography using strong lensing systems and cosmic chronometers
• Non-Singular Bouncing Model in Energy Momentum Squared Gravity
• Cosmography and the redshift drift in Palatini $f(\mathcal{R})$ theories
• Cosmography of the minimally extended Varying Speed of Light Model
• Cosmic Acceleration in an Extended Brans-Dicke-Higgs Theory
• On the convergence of cosmographic expansions in Lemaitre-Tolman-Bondi models
• Effect of Peak Absolute Magnitude of Type Ia Supernovae and Sound Horizon Values on Hubble Tension using DESI results
• A semi-cosmographic approach to study cosmological evolution in phase space
• When can we compute analytically lookback time, age of the universe, and luminosity distance?
• Dynamical analysis of the redshift drift in FLRW universes
• Implications of $f(R)$ gravity on late-time cosmic structure growth through a complete description of density perturbations
• The dynamics of background evolution and structure formation in phase space: a semi-cosmographic reconstruction
• Testing the cosmic distance duality relation using model-independent approach