Cosmological measurements from void-galaxy and galaxy-galaxy clustering in the Sloan Digital Sky Survey

We present the cosmological implications of measurements of void-galaxy and galaxy-galaxy clustering from the Sloan Digital Sky Survey (SDSS)  Main Galaxy Sample (MGS), Baryon Oscillation Spectroscopic Survey (BOSS), and extended BOSS (eBOSS) luminous red galaxy catalogues from SDSS Data Release 7, 12, and 16, covering the redshift range 0.07 < z < 1.0. We fit a standard ΛCDM cosmological model as well as various extensions including a constant dark energy equation of state not equal to -1, a time-varying dark energy equation of state, and these same models allowing for spatial curvature. Results on key parameters of these models are reported for void-galaxy and galaxy-galaxy clustering alone, both of these combined, and all these combined with measurements from the cosmic microwave background (CMB) and supernovae (SN). For the combination of void-galaxy and galaxy-galaxy clustering, we find tight constraints of Ω_m=0.356±0.024 for a base ΛCDM cosmology, Ω_m=0.391^+0.028_-0.021, w=-1.50^+0.43_-0.28 additionally allowing the dark energy equation of state w to vary, and Ω_m=0.331^+0.067_-0.094, w=-1.41^+0.70_-0.31, and Ω_k=0.06^+0.18_-0.13 further extending to non-flat models. The combined SDSS results from void-galaxy and galaxy-galaxy clustering in combination with CMB+SN provide a 30% improvement in parameter Ω_m over CMB+SN for ΛCDM,  a 5% improvement in parameter Ω_m when w is allowed to vary, and a 32% and 68% improvement in parameters Ω_m and Ω_k when allowing for spatial curvature.

We present the cosmological implications of measurements of void-galaxy and galaxy-galaxy clustering from the Sloan Digital
Sky Survey (SDSS) Main Galaxy Sample (MGS), Baryon Oscillation Spectroscopic Survey (BOSS), and extended BOSS
(eBOSS) luminous red galaxy catalogues from SDSS Data Release 7, 12, and 16, covering the redshift range 0.07 < 푧 < 1.0.
We fit a standard ΛCDM cosmological model as well as various extensions including a constant dark energy equation of
state not equal to −1, a time-varying dark energy equation of state, and these same models allowing for spatial curvature.
Results on key parameters of these models are reported for void-galaxy and galaxy-galaxy clustering alone, both of these
combined, and all these combined with measurements from the cosmic microwave background (CMB) and supernovae (SN).
For the combination of void-galaxy and galaxy-galaxy clustering, we find tight constraints of Ωm = 0.356 ± 0.024 for a base
ΛCDM cosmology, Ωm = 0.391+0.028
−0.021, 푤 = −1.50+0.43
+0.28 additionally allowing the dark energy equation of state 푤 to vary, and
Ωm = 0.331+0.067
−0.094, 푤 = −1.41+0.70
−0.31, and Ωk = 0.06+0.18
−0.13 further extending to non-flat models. The combined SDSS results from
void-galaxy and galaxy-galaxy clustering in combination with CMB+SN provide a 30% improvement in parameter Ωm over
CMB+SN for ΛCDM, a 5% improvement in parameter Ωm when 푤 is allowed to vary, and a 32% and 68% improvement in
parameters Ωm and Ωk when allowing for spatial curvature.
We present the cosmological implications of measurements of void-galaxy and galaxy-galaxy clustering from the Sloan Digital
Sky Survey (SDSS) Main Galaxy Sample (MGS), Baryon Oscillation Spectroscopic Survey (BOSS), and extended BOSS
(eBOSS) luminous red galaxy catalogues from SDSS Data Release 7, 12, and 16, covering the redshift range 0.07 < 푧 < 1.0.
We fit a standard ΛCDM cosmological model as well as various extensions including a constant dark energy equation of
state not equal to −1, a time-varying dark energy equation of state, and these same models allowing for spatial curvature.
Results on key parameters of these models are reported for void-galaxy and galaxy-galaxy clustering alone, both of these
combined, and all these combined with measurements from the cosmic microwave background (CMB) and supernovae (SN).
For the combination of void-galaxy and galaxy-galaxy clustering, we find tight constraints of Ωm = 0.356 ± 0.024 for a base
ΛCDM cosmology, Ωm = 0.391+0.028
−0.021, 푤 = −1.50+0.43
+0.28 additionally allowing the dark energy equation of state 푤 to vary, and
Ωm = 0.331+0.067
−0.094, 푤 = −1.41+0.70
−0.31, and Ωk = 0.06+0.18
−0.13 further extending to non-flat models. The combined SDSS results from
void-galaxy and galaxy-galaxy clustering in combination with CMB+SN provide a 30% improvement in parameter Ωm over
CMB+SN for ΛCDM, a 5% improvement in parameter Ωm when 푤 is allowed to vary, and a 32% and 68% improvement i
parameters Ωm and Ωk when allowing for spatial curvature.