Measurements of cosmic expansion and growth rate of structure from voids in the Sloan Digital Sky Survey between redshift 0.07 and 1.0

We present measurements of the anisotropic cross-correlation galaxies and cosmic voids in data from Sloan Digital Sky Survey Main Galaxy Sample (MGS), Baryon Oscillation Spectroscopic (BOSS) extended BOSS (eBOSS) luminous red galaxy catalogues SDSS Data Releases 7, 12 16, covering redshift range $0.07<z<1.0$. As our previous work analysing subsets these data, we use a reconstruction method applied to before void-finding order remove selection biases when constructing void samples. report results joint fit multipole moments measured for growth rate structure, $f\sigma_8(z)$, ratio $D_\mathrm{M}(z)/D_\mathrm{H}(z)$ comoving angular diameter distance Hubble distance, six bins. For $D_\mathrm{M}/D_\mathrm{H}$, are able achieve significantly higher precision than that obtained analyses baryon acoustic oscillations (BAO) clustering same datasets. Our lower but still comparable with results. both quantities, agree well expectations $\Lambda$CDM model. Assuming flat Universe, correspond measurement matter density parameter $\Omega_\mathrm{m}=0.337^{+0.026}_{-0.029}$. more general models degeneracy directions consistent complementary those other cosmological probes. These consolidate void-galaxy as pillar modern observational cosmology.