Table of Contents
Chapter 3: Structure in the Universe: Galaxies, Clusters,
Superclusters, Walls and Voids
Caveats
- The Saches-Wolfe Effect
- Biased Tracer Populations
Hierarchical Structures Uncovered
- Groups of Galaxies
- Clusters of Galaxies
- Evidence that Clusters of Galaxies are Gravitationally Bound
- Cluster Timescales
- Clusters of Clusters --> Superclusters
There's More Out There Than Just Light
Redshift Surveys: Defining Physical Structures
- Hierarchical Clustering Patterns
- The Coming of the Stickman
- The Void in Bootes
- The Deeply Probed Universe
- Correlation Scales
The Peculiar Velocity Field
- Inflows and Outflows
- Virgocentric Flow
- Large Scale Flows: Continental Drift in the Nearby Universe?
- Infall Around the Great Attractor: A Case Study
A Case Study: The Physical Structure of Voids and Walls
- Are Voids Real Structures?
- Are Walls Really Thin?
A Really, Really Big Flow?
A Determination of Ho Using the Virgo and Coma Clusters
Figures and Captions
Figure 3-1: Large scale structure in a Dark Matter supercomputer
simulation. Image courtesy of the HPCC group at the Univeristy of
Washington and George Lake. This simulation shows a void filled
Universe with much filamentary structure. Clusters of galaxies appear
to form at the intersections of voids.
Figure 3-2: CCD image of Hickson Compact Group 92 taken by the author
using the NTT telescope at the ESO observatory. The image shows that
much of the group contains diffuse intergalactic light.
Figure 3-3: CCD image of the center of the Coma Cluster, the richest
nearby cluster. The center is dominated by many elliptical and SO
galaxies.
Figure 3-4: A sample of cluster density profiles showing the
variations in the outer fall off. Data come from West and Bothun
(1990).
Figure 3-5: Encounter geometry for two stars which gravitationally
scatter of off one another.
Figure 3-6: Spatial plot of the position of galaxies in the Zwicky
catalog located within 30 degrees of the center of the Coma cluster.
Approximately 1900 galaxies are shown here and 200 alone define
the Coma cluster. A hint of the Great Wall structure can also be
seen in just this positional data.
Figure 3-7: Combined spatial distribution of all catalogued galaxies
onto the sphere of the sky defined by Galactic coordinates. The dark
band running down the center is the plane of the Milky Way, through
which distant galaxies can not be seen. The flattened distribution
almost perpendicular to the plane is the Local Supercluster. This
Image courtesy of Alan Dressler.
Figure 3-8: Combined Northern and Southern Hemisphere redshift surveys
initiated by M. Geller and J. Huchra. These data best define the
coherency of structure on rather large scales.
Figure 3-9: A typical absorption line spectrum of a galaxy showing
the many absorption lines in the spectrum. The principal lines used
for redshift determination are the Calcium H and K lines at wavelength
about 3900 angstroms, the Magnesium I complext at 5175 angstroms, and
the sodium D lines at 5800 angstroms.
Image courtesy of Jeff Willick.
Figure 3-10: An example of hierarchical clustering in the distribution
of lights seen in this image of the East Coast of the US taken at
night. Image courtesy of NOAA.
Figure 3-11: Large scale structure is seen in the Slice of the
Universe first published by de Lapparent \etal (1986). The opening
angle of the vertex represents the angular extent of the strip
survey and the width in declination has been collapsed. Each
galaxy is plotted at its redshift distance from the Earth. Virilized
structures, such as the Coma cluster in the center of the image,
appear as linear features pointed directly at the observer.
This representation of the Large Scale Structure clearly reveals
the presence of voids. This representation was originally done by
Lars Lindberg Christensen, University of Copenhagen, Denmark.
Figure 3-12: Slice diagrams of a section of the Las Campanas Redshift
Survey initiated by Steve Shectman and collaborators (see
Da Costa etal 1996). The void filled Universe is quite apparent in
this slice and numerous thin walls structures are also evident.
Figure 3-13: The two point correlation function for groups of galaxies.
The spatial correlation function is well approximated by the form
(s/so)b, where the correlation length so
and the slope of the power law, b, are the fitting parameters. The
dashed line indicates normalization of the power law fit which defines
the correlation length. The spatial scale over which the data cross
this line defines so. The Y-axis plots the logarithim
of (s/so)b.
The fit to a power law for this data gives a slope of -1.3 and
a correlation length of 8 -1 Mpc. Adapted from Ramella
etal (1989).
Figure 3-14: Cluster-cluster correlation function for an X-ray
flux limited sample of galaxies from Bahcall and Cen (1992).
The x-axis is the spatial scale, s, in log h-1 Mpc
and the Y-axis plots the logarithim
of (s/so)b.
Although the data set is noisy and the sample size is small,
the data are consistent with a correlation length of 21 h-1 Mpc.
This is equivalent to the correlation length found in numerical
simulation of low density universes (see Bahcall and Cen 1992;
Mo \etal 1996).
Figure 3-15: Schematic representation of hubble flow out to 20,000
km/s in which there is a constant 1,000 km/s peculiar velocity perturbation
which translates into a percentage distance error. Beyond a
velocity of 10,000 km/s uncertainties in distance would produce
percentage error estimates larger than those produce from this
peculiar velocity perturbation.

Figures 3-16: Distortion of the Velocity Field which is caused by
spherically symmetric infall into a virialized structure. Here
the spatial distribution of infall galaxies is plotted with heads
or tails on them to indicate the amplitude of their infall velocity.
Note that the heads and tails always point at the center of the
virialized cluster. This figure comes from Villumsen and Davis (1986).
Figure 3-17: Schematic representation of the Local Velocity Field from
Aaronson \etal (1986). Here the Milky Way is infalling towards Virgo
at approximately 300 km/s and the entire local Supercluster is infalling
towards Hydra-Cen at approximately 300 km/s. The vector sum of these
two infall components to the motion of the Milky Way approximately
accounts for the observed dipole anisotropy in the CMB.
Figure 3-18: Individual galaxy peculiar velocities plotted in
comparison with the spherically symmetric infall model that would
be generated by a Great Attractor located at kinematic distance
of 4350 km/s from the Milky Way.
The solid curved lines define the
front-side and back-side caustic infall surfaces and the dashed lines
represent 1-sigma error surfaces. The solid vertical lines represent
rt for the Great Attractor. The letter A denotes the
Antlia cluster. The model has been normalized such that the Great
Attractor accounts for the entire observed dipole anisotropy in the CMB.
Figure adapted from Figure 4 in Bothun \etal (1992a).

Figure 3-19: Cone diagram for all known velocities that are in the
putative Great Attractor region of the sky. The large "finger" which
is seen is the Centaurus cluster.

Figure 3-20: Distribution of known peculiar velocities for nearby
groups and clusters as projected on the plane of the Local Supercluster.
Nominal distances are in km/s and the amplitude and direction of any
measured peculiar velocity is indicated by the arrows that are tagged
onto some groups and clusters. Figure adapted from Mould \etal (1993).

Figure 3-21: Structure of the large void seen in the first CFA Slice
data in redshift space. Adapted from Bothun \etal (1992).

Figure 3-22: Peculiar velocity data from Giovanelli \etal (1996)
whose sample shows that the average peculiar velocity declines to
zero at observed redshift of 6000 km/s. This behavior is inconsistent
with the Lauer and Postman (1994) result indicated by the +689
constant velocity line. The numbers below each data bin mark the
number of galaxies in the sample.

Figure 3-23:
Deviations from a uniform Hubble flow compiled by Mould (1996). Solid circles: clusters of galaxies with Tully-Fisher
distances. Solid triangles: EPM data of Schmidt et al. (1994). Open symbols: brightest cluster members
from Lauer & Postman (1994). There is no evidence that a significantly
different value of the Hubble Constant pertains for samples located
inside and outside the distance of the Coma cluster at v = 7200 km/sec.
Moreover, it is clear that beyond 5000 km/s, the noise in determining
Ho has greatly diminished. Note
the considerable scatter in the Lauer and Postman sample.