Constraints on Cosmology and Gravity from the Dynamics of Voids
Nico Hamaus, Alice Pisani, Paul M. Sutter, Guilhem Lavaux, St\'ephanie, Escoffier, Benjamin D. Wandelt, and Jochen Weller

TL;DR
This paper uses galaxy distributions around cosmic voids to measure key cosmological parameters, providing new constraints on matter density and structure growth, and testing gravity theories in low-density regions.
Contribution
It introduces a novel method leveraging void-galaxy correlations to constrain cosmology and gravity, improving on previous small-scale measurements with minimal assumptions.
Findings
Measured matter density $oxed{ ext{Ω}_ ext{m}=0.281 extpm0.031}$
Determined growth rate $f/b=0.417 extpm0.089$ at median redshift 0.57
Found no evidence for deviations from general relativity
Abstract
The Universe is mostly composed of large and relatively empty domains known as cosmic voids, whereas its matter content is predominantly distributed along their boundaries. The remaining material inside them, either dark or luminous matter, is attracted to these boundaries and causes voids to expand faster and to grow emptier over time. Using the distribution of galaxies centered on voids identified in the Sloan Digital Sky Survey and adopting minimal assumptions on the statistical motion of these galaxies, we constrain the average matter content in the Universe today, as well as the linear growth rate of structure at median redshift , where is the galaxy bias ( C.L.). These values originate from a percent-level measurement of the anisotropic distortion in the void-galaxy cross-correlation function,…
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