On the theory and applications of modern cosmography

Abstract

Cosmography represents an important branch of cosmology which aims to describe the universe without the need of postulating \emph{a priori} any particular cosmological model. All quantities of interest are expanded as a Taylor series around here and now, providing in principle, a way of directly matching with cosmological data. In this way, cosmography can be regarded a model-independent technique, able to fix cosmic bounds, although several issues limit its use in various model reconstructions. The main purpose of this review is to focus on the key features of cosmography, emphasising both the strategy for obtaining the observable cosmographic series and pointing out any drawbacks which might plague the standard cosmographic treatment. In doing so, we relate cosmography to the most relevant cosmological quantities and to several dark energy models. We also investigate whether cosmography is able to provide information about the form of the cosmological expansion history, discussing how to reproduce the dark fluid from the cosmographic sound speed. Following this, we discuss limits on cosmographic priors and focus on how to experimentally treat cosmographic expansions. Finally, we present some of the latest developments of the cosmographic method, reviewing the use of rational approximations, based on cosmographic Padé polynomials. Future prospects leading to more accurate cosmographic results, able to better reproduce the expansion history of the universe are also discussed in detail.

References in corpus (8)

• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Baryon Acoustic Oscillations in the Ly-α forest of BOSS quasars
• Causality and the speed of sound
• Conformally Friedmann-Lemaitre-Robertson-Walker cosmologies
• Testing the LCDM model (and more) with the time evolution of the redshift
• Emerging the dark sector from thermodynamics of cosmological systems with constant pressure
• Curvature dark energy reconstruction through different cosmographic distance definitions

Cited by in corpus (101)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Teleparallel Gravity: From Theory to Cosmology
• Extended Gravity Cosmography
• Kinematic reconstructions of extended theories of gravity at small and intermediate redshifts
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Model-independent reconstruction of $f(Q)$ non-metric gravity
• High-redshift cosmography: auxiliary variables versus Padé polynomials
• General Cosmography Model with Spatial Curvature
• Cosmological perfect-fluids in f(R) gravity
• Cosmographic analysis with Chebyshev polynomials
• Noether symmetries in Symmetric Teleparallel Cosmology
• Barrow holographic dark energy with Hubble horizon as IR cutoff
• Rational approximations of $f(R)$ cosmography through Padé polynomials
• Dawn of the dark: unified dark sectors and the EDGES Cosmic Dawn 21-cm signal
• Einstein, Planck and Vera Rubin: relevant encounters between the Cosmological and the Quantum Worlds
• Model-independent reconstruction of $f(T)$ teleparallel cosmology
• Kinematic model-independent reconstruction of Palatini $f(R)$ cosmology
• Resolving the $H_0$ tension with diffusion
• Model-independent limits and constraints on extended theories of gravity from cosmic reconstruction techniques
• Dark Energy and Dark Matter from an additional adiabatic fluid
• Unveiling cosmography from the dark energy equation of state
• Observational constraints on Gauss-Bonnet cosmology
• Kinematic constraints beyond $z\simeq 0$ using calibrated GRB correlations
• Cosmological perfect fluids in Gauss-Bonnet gravity
• High-redshift cosmography: Application and comparison with different methods
• Quantifying the evidence for the current speed-up of the Universe with low and intermediate-redshift data. A more model-independent approach
• Model-Independent Constraints on Lorentz Invariance Violation via the Cosmographic Approach
• Calibrating Gamma-Ray Bursts by Using a Gaussian Process with Type Ia Supernovae
• Constraints on the transition redshift from the calibrated Gamma-ray Burst $E_{\mathrm{p}}$-$E_{\mathrm{iso}}$ correlation
• Cosmological perfect fluids in higher-order gravity
• Holographic dark energy from the laws of thermodynamics with Rényi entropy
• Cosmographic analysis of redshift drift
• Estimating the Parameters of Extended Gravity Theories with the Schwarzschild Precession of S2 Star
• Cosmographic view on the $H_0$ and ${\sigma }_8$ tensions
• Modeling Transit Dark Energy in $f(R,L_m)$-gravity
• Cosmographic analysis of a closed bouncing universe with the varying cosmological constant in $f(R,T)$ gravity
• Constraining the dark energy statefinder hierarchy in a kinematic approach
• Inflationary entanglement
• Induced gravity effect on inflationary parameters in an holographic cosmology
• Transit String Dark Energy Models in $f(Q)$ Gravity
• Redshift drift cosmography with ELT and SKAO measurements
• Weak field limit and gravitational waves in higher-order gravity
• Nonparametric reconstruction of the Om diagnostic to test LCDM
• Cosmographic Footprints of Dynamical Dark Energy
• {\it Gauging} the cosmic acceleration with recent type Ia supernovae data sets
• The Raychaudhuri Equation in inhomogeneous FLRW space-time : A $f(R)$-gravity model
• Reconstruction of $f(R,T)$ gravity model via the Raychaudhuri equation
• Observational Constraints on Growth Index with Cosmography
• Testing cosmic anisotropy with Pade approximation and Pantheon+ sample
• Maximum turnaround radius in $f(R)$ gravity
• Limits on the Reconstruction of a Single Dark Energy Scalar Field Potential from SNe Ia Data
• Dark energy reconstructions combining BAO data with galaxy clusters and intermediate redshift catalogs
• Redshift Drift in $f(R,T)$ Gravity
• Estimating the parameters of Hybrid Palatini gravity model with the Schwarzschild precession of S2, S38 and S55 stars: case of bulk mass distribution
• High-redshift cosmography with a possible cosmic distance duality relation violation
• Varying fine-structure constant cosmography
• Raychaudhuri equation in scalar-tensor theory
• Local probes strongly favor $\Lambda$CDM against power-law and $R_h=ct$ universe
• Joint Constraints on the Hubble Constant, Spatial Curvature, and Sound Horizon from the Late-time Universe with Cosmography
• Repulsive regions in Lemaître-Tolman-Bondi gravitational collapse
• Breaking the baryon-dark matter degeneracy in a model-independent way through the Sunyaev-Zeldovich effect
• Discriminating among cosmological models by data-driven methods
• What if Newton's Gravitational Constant was negative?
• Cosmography using strong lensing systems and cosmic chronometers
• Possible effects of Hybrid Gravity on stellar kinematics in elliptical galaxies
• Cosmography and the redshift drift in Palatini $f(\mathcal{R})$ theories
• Velocity distribution of elliptical galaxies in the framework of Non-local Gravity model
• Constrained transit cosmological models in $f(R,L_m,T)$-gravity
• Addressing the $H_0$ tension through matter with pressure and no early dark energy
• Recovering the cosmological constant from affine geometry
• Do current observations support transient acceleration of our universe?
• Cosmography of the minimally extended Varying Speed of Light Model
• Note on Dark Energy and Cosmic Transit in a scale-invariance cosmology
• Constraining hybrid potential scalar field cosmological model in Lyra's geometry with recent observational data
• The art of building a smooth cosmic distance ladder in a perturbed universe
• On the convergence of cosmographic expansions in Lemaitre-Tolman-Bondi models
• Entanglement production in Einstein-Cartan theory
• Cosmological parameter constraints using phenomenological symbolic expressions: On the significance of symbolic expression complexity and accuracy
• Bias of reconstructing the dark energy equation of state from the Pad$\acute{e}$ cosmography
• Effect of Peak Absolute Magnitude of Type Ia Supernovae and Sound Horizon Values on Hubble Tension using DESI results
• Lyra's cosmology of homogeneous and isotropic universe in Brans-Dicke theory
• A model-independent compact dynamical system formulation for exploring bounce and cyclic cosmological evolutions in $f(R)$ gravity
• Some cosmological features of 4D Gauss-Bonnet gravity with varying cosmological constant
• Determining $H_0$ from distance sum rule combining gamma-ray bursts with observational Hubble data and strong gravitational lensing
• Characterizing the equivalence between dark energy and radiation using gamma-ray bursts
• How cosmological expansion affects communication between distant quantum systems
• Power-Law Bounces in $f(R)$ Gravity: Analysis of the Ekpyrosis and Accelerating Regimes
• A semi-cosmographic approach to study cosmological evolution in phase space
• Varying fundamental constants cosmography
• Dynamical analysis of the redshift drift in FLRW universes
• Model independent reconstruction of cosmological accelerated-decelerated phase
• Thermodynamic parametrization of dark energy
• Effects of dynamical friction on perturbations for evolving dark energy
• Quintessence dark energy model in non-linear $f(Q)$ theory with bulk-viscosity
• The dynamics of background evolution and structure formation in phase space: a semi-cosmographic reconstruction
• On the Stability of Dark Energy Scalar Field Reconstruction from SNe Ia Data
• Testing the cosmic distance duality relation using model-independent approach
• The spacetime geodesy of perfect fluid spheres
• Evolution of matter perturbations in the context of cosmic slowing down
• Cosmic microwave background temperature cosmography
• Intermediate redshift calibration of Gamma-ray Bursts and cosmic constraints in non-flat cosmology