The redshift dependence of the inferred $H_0$ in a local void solution to the Hubble tension

Abstract

Galaxy number counts suggest that we are located within the Gpc-scale KBC void. The Hubble tension might arise due to gravitationally driven outflow from this void, as explored in detail by Haslbauer et al. We explore how the impact of the void on redshift decays at large distances. We define $H_0(z)$ as the present expansion rate $H_0$ that would be inferred from observations in a narrow redshift range centred on $z$. We find $H_0(z)$ in three different ways, all of which give similar results. We then compare these results with the observations of Jia et al., who were careful to minimise the impact of correlations between $H_0$ measurements from data in different redshift bins. We find reasonable agreement with their results for the Gaussian and Exponential void underdensity profiles, although the agreement is less good in the Maxwell-Boltzmann case. The latter profile causes severe disagreement with the observed bulk flow curve at $z<0.1$ (Mazurenko et al.), so the tension with higher redshift data further highlights that the deepest part of the KBC void is probably near its centre. The observations show a decline of $H_0(z)$ towards the background $Planck$ value in qualitative agreement with the considered models, even if we use a larger void. The good overall agreement with the recent results of Jia et al. suggests that the local supervoid evident from the galaxy luminosity density out to a Gpc might also solve the Hubble tension while retaining a low background $H_0$ consistent with $Planck$ data, assuming enhanced structure formation on $>100$ Mpc scales.

11 pages, 5 figures, no tables. Published in the Monthly Notices of the Royal Astronomical Society in this form

References in corpus (18)

• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• Seven hints that early-time new physics alone is not sufficient to solve the Hubble tension
• On the evolution of the Hubble constant with the SNe Ia Pantheon Sample and Baryon Acoustic Oscillations: a feasibility study for GRB-cosmology in 2030
• Galaxies as simple dynamical systems: observational data disfavor dark matter and stochastic star formation
• The Local Perspective on the Hubble Tension: Local Structure Does Not Impact Measurement of the Hubble Constant
• A combined analysis of the $H_0$ late time direct measurements and the impact on the Dark Energy sector
• Cluster Cepheids with High Precision Gaia Parallaxes, Low Zeropoint Uncertainties, and Hubble Space Telescope Photometry
• Are sterile neutrinos consistent with clusters, the CMB and MOND?
• Sample variance in the local measurements of the Hubble constant
• A massive blow for $\Lambda$CDM $-$ the high redshift, mass, and collision velocity of the interacting galaxy cluster El Gordo contradicts concordance cosmology
• Combining pre- and post-recombination new physics to address cosmological tensions: case study with varying electron mass and sign-switching cosmological constant
• Local Hole revisited: evidence for bulk motions and self-consistent outflow
• The El Gordo galaxy cluster challenges ΛCDM for any plausible collision velocity
• Hydrodynamical structure formation in Milgromian cosmology
• The cosmological star formation history from the Local Cosmological Volume of galaxies and constraints on the matter homogeneity
• An Inconsistency in standard Maximum Likelihood Estimation of Bulk Flows
• The Role of Type Ia Supernovae in Constraining the Hubble Constant
• The Hubble Tension in our own Backyard: DESI and the Nearness of the Coma Cluster

Cited by in corpus (2)

• A Review on Resolving the Hubble Tension via Late-Universe Physics
• Constraints on the gravitational potential from DESI DR2 BAO and its implications for the local void scenario