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We present an analysis of the anisotropic redshift-space void-galaxycorrelation in configuration space using the Sloan Digital Sky Survey extendedBaryon Oscillation Spectroscopic Survey (eBOSS) Data Release 16 luminous redgalaxy (LRG) sample. This sample consists of LRGs between redshifts 0.6 and1.0, combined with the high redshift $z>0.6$ tail of the Baryon OscillationSpectroscopic Survey Data Release 12 CMASS sample. We use a reconstructionmethod to undo redshift-space distortion (RSD) effects from the galaxy fieldbefore applying a watershed void-finding algorithm to remove bias from the voidselection. We then perform a joint fit to the multipole moments of thecorrelation function for the growth rate $f\sigma_8$ and the geometricaldistance ratio $D_M/D_H$, finding $f\sigma_8(z_\mathrm{eff})=0.356\pm0.079$ and$D_M/D_H(z_\mathrm{eff})=0.868\pm0.017$ at the effective redshift$z_\mathrm{eff}=0.69$ of the sample. The posterior parameter degeneracies areorthogonal to those from galaxy clustering analyses applied to the same data,and the constraint achieved on $D_M/D_H$ is significantly tighter. Incombination with the consensus galaxy BAO and full-shape analyses of the samesample, we obtain $f\sigma_8=0.447\pm0.039$, $D_M/r_d=17.48\pm0.23$ and$D_H/r_d=20.10\pm0.34$. These values are in good agreement with the$\Lambda$CDM model predictions and represent reductions in the uncertainties of$13\%$, $23\%$ and $28\%$ respectively compared to the combined results fromgalaxy clustering, or an overall reduction of 55\% in the allowed volume ofparameter space.

monthly notices of the royal astronomical society

The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey:  geometry and growth from the anisotropic void-galaxy correlation function in  the luminous red galaxy sample