Cosmography of the Local Universe by Multipole Analysis of the Expansion Rate Fluctuation Field

Abstract

We establish a relationship between the multipoles of the expansion rate fluctuation field $\eta ,$ which capture in an accurate way deviations from isotropy in the redshift-distance relation, and the multipoles of the covariant cosmographic parameters-Hubble ${\mathbb{H}}_o$, deceleration ${\mathbb{Q}}_o$, jerk ${\mathbb{J}}_o$, and curvature ${\mathbb{R}}_o$. These parameters, derived from the third-order expansion of the luminosity distance with respect to redshift in a generic spacetime, provide model-independent insight into the geometry and symmetries of the cosmic line element without requiring the Cosmological Principle. Moreover, we demonstrate that although this approach is fully nonperturbative and does not rely on concepts such as peculiar velocities, it has the potential to constrain the motion of the matter frame at the observer's position relative to the cosmic microwave background. We use two analytical axisymmetric models, motivated by observational evidence, to test the formalism and the effectiveness of the third-order expansion of the luminosity distance. These models also help to predict the precision with which future surveys, like the Zwicky Transient Facility, will constrain the covariant cosmographic parameters in the local ($z<0.1$) Universe.

arXiv commentRevised version accepted by JCAP. 41 pages, 16 figures, follow-up paper of arXiv:2312.09875 and arXiv:2210.11333

References in corpus (45)

• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Planck 2018 results. I. Overview and the cosmological legacy of Planck
• The Pantheon+ Analysis: Cosmological Constraints
• Challenges for $\Lambda$CDM: An update
• Jerk, snap, and the cosmological equation of state
• The density and peculiar velocity fields of nearby galaxies
• Cosmicflows-3
• The $H_0$ Olympics: A fair ranking of proposed models
• On the Hubble constant tension in the SNe Ia Pantheon sample
• A measurement of large-scale peculiar velocities of clusters of galaxies: results and cosmological implications
• A Test of the Cosmological Principle with Quasars
• Is the Observable Universe Consistent with the Cosmological Principle?
• Correlated Fluctuations in Luminosity Distance and the (Surprising) Importance of Peculiar Motion in Supernova Surveys
• Fluctuations of the luminosity distance
• Probing cosmic isotropy with a new X-ray galaxy cluster sample through the $L_{\text{X}}-T$ scaling relation
• Searching for a Cosmological Preferred Axis: Union2 Data Analysis and Comparison with Other Probes
• (An)isotropy of the Hubble diagram: comparing hemispheres
• Cosmicflows-4
• Inhomogeneity and the foundations of concordance cosmology
• High redshift radio galaxies and divergence from the CMB dipole
• Revisiting the NVSS number count dipole
• Probing the isotropy of cosmic acceleration traced by Type Ia supernovae
• Cosmological implications of the anisotropy of ten galaxy cluster scaling relations
• Hints of FLRW Breakdown from Supernovae
• The Cosmic Radio Dipole: Estimators and Frequency Dependence
• Constraints on anisotropic cosmic expansion from supernovae
• On Larger $H_0$ Values in the CMB Dipole Direction
• The Dipole Repeller
• Cosmicflows-3: Cosmography of the Local Void
• Direction Dependence of the Deceleration Parameter
• Probing the anisotropic expansion from supernovae and GRBs in a model-independent way
• Multipole decomposition of the general luminosity distance 'Hubble law' -- a new framework for observational cosmology
• Dipolar modulation in number counts of WISE-2MASS sources
• Inference of the cosmic rest-frame from supernovae Ia
• The Scale of Cosmic Isotropy
• Is the expansion of the universe accelerating? All signs still point to yes a local dipole anisotropy cannot explain dark energy
• Galaxy Distances in the Nearby Universe: Corrections For Peculiar Motions
• The dipole anisotropy of AllWISE galaxies
• Light propagation in inhomogeneous and anisotropic cosmologies
• The multipole expansion of the local expansion rate
• Constraining the local variance of $H_0$ from directional analyses
• Covariant cosmography: the observer-dependence of the Hubble parameter
• On methods of estimating cosmological bulk flows

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• Hubble Diagrams in Statistically Homogeneous, Anisotropic Universes
• Testing inhomogeneous cosmography in our cosmic neighborhood using CosmicFlows-4
• On the convergence of cosmographic expansions in Lemaitre-Tolman-Bondi models
• Dispersion in the Hubble-Lemaître constant measurements from gravitational clustering
• No evidence for local $H_0$ anisotropy from Tully--Fisher or supernova distances
• Measuring cosmic dipole with the GRB luminosity-time relation
• An effective $\mathbf{\Lambda }$-Szekeres modelling of the local Universe with Cosmicflows-4