We report novel cosmological constraints obtained from cosmic voids in the final BOSS DR12 dataset .
They arise from the joint analysis of geometric and dynamic distortions of average void shapes ( i.e. , the stacked void-galaxy cross-correlation function ) in redshift space .
Our model uses tomographic deprojection to infer real-space void profiles and self-consistently accounts for the Alcock-Paczynski ( AP ) effect and redshift-space distortions ( RSD ) without any prior assumptions on cosmology or structure formation .
It is derived from first physical principles and provides an extremely good description of the data at linear perturbation order .
We validate this model with the help of mock catalogs and apply it to the final BOSS data to constrain the RSD and AP parameters f / b and D _ { \mathrm { A } } H / c , where f is the linear growth rate , b the linear galaxy bias , D _ { \mathrm { A } } the comoving angular diameter distance , H the Hubble rate , and c the speed of light .
In addition , we include two nuisance parameters in our analysis to marginalize over potential systematics .
We obtain f / b = 0.540 \pm 0.091 and D _ { \mathrm { A } } H / c = 0.588 \pm 0.004 from the full void sample at a mean redshift of z = 0.51 .
In a flat \Lambda CDM cosmology , this implies \Omega _ { \mathrm { m } } = 0.312 \pm 0.020 for the present-day matter density parameter .
When we use additional information from the survey mocks to calibrate our model , these constraints improve to f / b = 0.347 \pm 0.023 , D _ { \mathrm { A } } H / c = 0.588 \pm 0.003 , and \Omega _ { \mathrm { m } } = 0.311 \pm 0.019 .
However , we emphasize that the calibration depends on the specific model of cosmology and structure formation assumed in the mocks , so the calibrated results should be considered less robust .
Nevertheless , our calibration-independent constraints are among the tightest of their kind to date , demonstrating the immense potential of using cosmic voids for cosmology in current and future data .