Physics - Astrophysics of Galaxies Physics - Cosmology and Nongalactic Astrophysics Physics - Earth and Planetary Astrophysics Physics - High Energy Astrophysical Phenomena Physics - Instrumentation and Methods for Astrophysics Physics - Solar and Stellar Astrophysics
Astrophys.J.607:751-764,2004 We present an analysis of voids in the 2dF Galaxy Redshift Survey (2dFGRS).
This analysis includes identification of void regions and measurement of void
statistics. The 2dFGRS is the largest completed redshift survey to date,
including a total of 245,591 galaxies covering 1500 deg$^2$ to a median depth
of z~0.11. We use the voidfinder algorithm to identify a total of 289 voids in
the 2dFGRS with radius larger than 10h^{-1}Mpc. These voids have an average
effective radius of 14.89+- 2.65 h^{-1}Mpc in the North Galactic Pole region
(NGP) and 15.61+- 2.84h^{-1}Mpc in the South Galactic Pole region (SGP). These
voids are extremely underdense, with average density contrast of delta rho/rho=
-0.94+-0.02. The centers of voids are even emptier, because the few galaxies
within the voids typically lie close to the edges. The total volume of the
universe filled by these void regions is approximately 40%. We measure the Void
Probability Function (VPF) of the 2dFGRS for volume-limited samples with
limiting absolute magnitudes from -16 to -21 in b_J. We measure the
Underdensity Probability Function for samples with limiting absolute magnitudes
from -18 to -21. We find that the SGP is more underdense than the NGP for all
but the brightest sample under consideration. There is good agreement between
the VPF's of the Center for Astrophysics Survey and the 2dFGRS. Comparison of
VPF's measured for the 2dFGRS with the distribution of simulated dark-matter
halos of similar number density indicates that voids in the matter distribution
in LCDM simulations are not empty enough. However, semi-analytic models of
galaxy formation that include feedback effects yield VPF's that show excellent
agreement with the data.