The anisotropic expansion rate of the local Universe and its covariant cosmographic interpretation

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Hauptverfasser: Kalbouneh, Basheer, Marinoni, Christian, Maartens, Roy, Bel, Julien, Santiago, Jessica, Clarkson, Chris, Sarma, Maharshi, Virey, Jean-Marc
Format: Preprint
Veröffentlicht: 2025
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author Kalbouneh, Basheer
Marinoni, Christian
Maartens, Roy
Bel, Julien
Santiago, Jessica
Clarkson, Chris
Sarma, Maharshi
Virey, Jean-Marc
author_facet Kalbouneh, Basheer
Marinoni, Christian
Maartens, Roy
Bel, Julien
Santiago, Jessica
Clarkson, Chris
Sarma, Maharshi
Virey, Jean-Marc
contents Without making any assumption on the underlying geometry and metric of the local Universe, we provide a measurement of the expansion rate fluctuation field using the Cosmicflows-4 and Pantheon+ samples in the redshift range $0.01 < z < 0.1$ ($30 \,h^{-1}\,\mathrm{Mpc} < R < 300\,h^{-1}\,\mathrm{Mpc}$). The amplitude of the anisotropic fluctuations is found to be of order a few percent relative to the monopole of the expansion rate. We further decompose the expansion rate fluctuation field into spherical harmonic components and analyze their evolution with redshift across the studied redshift range. At low redshift, the dipole is clearly dominant, with an amplitude of $\sim (2.2 \pm 0.15)\times 10^{-2}$, significantly larger than the higher--order modes. As redshift increases, the dipole amplitude steadily decreases, reaching roughly half its value in the highest redshift bin investigated. The quadrupole is also significant, at about half the dipole amplitude, and persists across all redshift bins, with no clear decreasing trend, although uncertainties grow at higher redshift. A nonzero octupole is also detected at low redshift. The dipole, quadrupole, and octupole components are found to be aligned, exhibiting axial symmetry around a common axis ($l = 295^\circ,\, b = 5^\circ$). We interpret the observed fluctuations in the expansion rate within the framework of covariant cosmography. Our results indicate that the multipoles of the expansion rate fluctuation field are primarily driven by a strong quadrupole in the covariant Hubble parameter, together with dipole and octupole contributions from the covariant deceleration parameter. These few parameters suffice to reconstruct the luminosity distance with high precision out to $z \sim 0.1$, in a manner that is model--independent, non--perturbative, and free from assumptions about peculiar velocities.
format Preprint
id arxiv_https___arxiv_org_abs_2510_02510
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The anisotropic expansion rate of the local Universe and its covariant cosmographic interpretation
Kalbouneh, Basheer
Marinoni, Christian
Maartens, Roy
Bel, Julien
Santiago, Jessica
Clarkson, Chris
Sarma, Maharshi
Virey, Jean-Marc
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
Without making any assumption on the underlying geometry and metric of the local Universe, we provide a measurement of the expansion rate fluctuation field using the Cosmicflows-4 and Pantheon+ samples in the redshift range $0.01 < z < 0.1$ ($30 \,h^{-1}\,\mathrm{Mpc} < R < 300\,h^{-1}\,\mathrm{Mpc}$). The amplitude of the anisotropic fluctuations is found to be of order a few percent relative to the monopole of the expansion rate. We further decompose the expansion rate fluctuation field into spherical harmonic components and analyze their evolution with redshift across the studied redshift range. At low redshift, the dipole is clearly dominant, with an amplitude of $\sim (2.2 \pm 0.15)\times 10^{-2}$, significantly larger than the higher--order modes. As redshift increases, the dipole amplitude steadily decreases, reaching roughly half its value in the highest redshift bin investigated. The quadrupole is also significant, at about half the dipole amplitude, and persists across all redshift bins, with no clear decreasing trend, although uncertainties grow at higher redshift. A nonzero octupole is also detected at low redshift. The dipole, quadrupole, and octupole components are found to be aligned, exhibiting axial symmetry around a common axis ($l = 295^\circ,\, b = 5^\circ$). We interpret the observed fluctuations in the expansion rate within the framework of covariant cosmography. Our results indicate that the multipoles of the expansion rate fluctuation field are primarily driven by a strong quadrupole in the covariant Hubble parameter, together with dipole and octupole contributions from the covariant deceleration parameter. These few parameters suffice to reconstruct the luminosity distance with high precision out to $z \sim 0.1$, in a manner that is model--independent, non--perturbative, and free from assumptions about peculiar velocities.
title The anisotropic expansion rate of the local Universe and its covariant cosmographic interpretation
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2510.02510