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.

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

References in corpus (20)

• In the Realm of the Hubble tension $-$ a Review of Solutions
• The Pantheon+ Analysis: Cosmological Constraints
• Challenges for $\Lambda$CDM: An update
• The $H_0$ Olympics: A fair ranking of proposed models
• On the Hubble constant tension in the SNe Ia Pantheon sample
• A Test of the Cosmological Principle with Quasars
• Is the Observable Universe Consistent with the Cosmological Principle?
• Probing cosmic isotropy with a new X-ray galaxy cluster sample through the $L_{\text{X}}-T$ scaling relation
• Cosmicflows-4
• 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
• On Larger $H_0$ Values in the CMB Dipole Direction
• The Dipole Repeller
• 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 multipole expansion of the local expansion rate
• Covariant cosmography: the observer-dependence of the Hubble parameter

Cited by in corpus (11)

• Covariant cosmography: the observer-dependence of the Hubble parameter
• Testing cosmic anisotropy with Pade approximation and Pantheon+ sample
• Probing the Cosmological Principle with weak lensing shear
• Expanding covariant cosmography of the local Universe: incorporating the snap and axial symmetry
• 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