A novel null test for the $\Lambda$CDM model with growth-rate data

Abstract

Current and upcoming surveys will measure the cosmological parameters with an extremely high accuracy. The primary goal of these observations is to eliminate some of the currently viable cosmological models created to explain the late time accelerated expansion (either real or only inferred). However, most of the statistical tests used in cosmology have a strong requirement: the use of a model to fit the data. Recently there has been an increased interest on finding tests that are model independent, i.e. to have a function that depends entirely on observed quantities and not on the model, see for instance [1]. In this letter we present an alternative consistency check at the perturbative level for a homogeneous and isotropic Universe filled with a dark energy component. This test makes use of the growth of matter perturbations data and it is able to not only test the homogeneous and isotropic Universe but also, within the framework of a Friedmann-Lemaître-Robertson-Walker Universe, if the dark energy component is able to cluster, if there is a tension in the data or if we are dealing with a modification of gravity.

4 pages, 1 figure

References in corpus (23)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• Cosmology and fundamental physics with the Euclid satellite
• Two new diagnostics of dark energy
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• Modified gravity models of dark energy
• A general test of the Copernican Principle
• Probing Cosmic Acceleration Beyond the Equation of State: Distinguishing between Dark Energy and Modified Gravity Models
• Separating Dark Physics from Physical Darkness: Minimalist Modified Gravity vs. Dark Energy
• On the Growth of Perturbations as a Test of Dark Energy
• Crossing the Phantom Divide
• Observational constraints on viable f(R) parametrizations with geometrical and dynamical probes
• Curvature vs Distances: testing the FLRW cosmology
• Fingerprinting dark energy
• Reconstruction of the Scalar-Tensor Lagrangian from a LCDM Background and Noether Symmetry
• Consistency test of general relativity from large scale structure of the Universe
• Non-Linear gravitational growth of large scale structures inside and outside standard Cosmology
• Dark Energy in Practice
• Large scale structure simulations of inhomogeneous LTB void models
• Fingerprinting Dark Energy II: weak lensing and galaxy clustering tests
• Fingerprinting Dark Energy III: distinctive marks of viscosity
• Can dark energy viscosity be detected with the Euclid survey?
• Halo abundances and shear in void models

Cited by in corpus (20)

• Dark Matter and Dark Energy Interactions: Theoretical Challenges, Cosmological Implications and Observational Signatures
• Evolution of the $f{\sigma }_8$ tension with the Planck15/$\Lambda$CDM determination and implications for modified gravity theories
• What can Machine Learning tell us about the background expansion of the Universe?
• The evidence of cosmic acceleration and observational constraints
• How clustering dark energy affects matter perturbations
• Novel null tests for the spatial curvature and homogeneity of the Universe and their machine learning reconstructions
• Hints of dark energy anisotropic stress using Machine Learning
• Growth of matter perturbations in clustered holographic dark energy cosmologies
• Can Holographic dark energy models fit the observational data?
• Cosmic expansion parametrization: Implication for curvature and ${\text{H}}_0$ tension
• Testing Einstein's gravity and dark energy with growth of matter perturbations: Indications for new Physics?
• Null tests of the standard model using the linear model formalism
• Agegraphic dark energy: growth index and cosmological implications
• Euclid: Forecast constraints on consistency tests of the $\Lambda$CDM model
• Testing the $\Lambda$CDM paradigm with growth rate data and machine learning
• Null tests with Gaussian Process
• Smoothing expansion rate data to reconstruct cosmological matter perturbations
• Complementary consistency test of the Copernican principle via Noether's theorem and machine learning forecasts
• Cosmic acceleration and the Hubble tension from baryon acoustic oscillation data
• Forecast constraints on null tests of the $\Lambda$CDM model with SPHEREx