The Hubble Flow From Brightest Cluster Galaxies.
Initial results are presented from a reinvestigation of the Brightest
Cluster Galaxy (BGC) distance scale, which includes richer sampling and
complete all-sky observations of Abell clusters within 15,000 km/s.
Virgo BCG, NGC 4472, is used to calibrate the BCG Hubble diagram
directly, independent of the Virgocentric infall pattern. For the
observed distance to NGC 4472 of 14.4 Mpc, Ho = 77 +/- 8 km/s Mpc.
Alternatively, if NGC 4472 is at the Sandage and Tammann (1990) 21.9 Mpc
distance to Virgo, then Ho = 51 +/- 5. The BCG Hubble constant on either
the short or long system is consistent with Hubble constants measured on
the same system within the local supercluster. Plausible high values of
Ho observed within the local supercluster therefore cannot be explained
as biased measures of the true Ho due to velocity anomalies induced by
large-scale structure.
The distribution of axis ratios presently computed for a sample of
brightest cluster galaxies (BCGs) is found to not vary greatly from a
similar distribution for a sample of ordinary ellipticals. A significant
difference is noted, however, between the distribution of axis ratios
for a sample of BCGs and for a sample of second-brightest cluster
ellipticals. It is also noted, in partial support for a hypothesized
competition of BCGs for cluster galaxies that would otherwise merge with
the second-brightest cluster ellipticals, that the shape of a merger
remnant can reflect the relative masses of the progenitor as well as the
angular momentum of the merging system.
We have measured the velocity of the Local Group with respect to an
inertial frame defined by the 119 Abell and Abell, Corwin, & Olowin
(ACO) clusters contained within 15,000 km/s. The observations consist of
a full-sky peculiar velocity survey with an effective depth ranging from
8000 to 11,000 km/s, depending on how the observations are weighted with
redshift. This is the deepest peculiar velocity survey yet conducted.
Clusters are selected by heliocentric redshift, and the sample is
volume-limited. We use the Hoessel (1980) relationship between the
metric luminosities of the brightest clusters galaxies (BCGs) and the
slope of their brightness profiles as the distance indicator. The
Cousins R-band luminosity within a metric radius of 10/h kpc yields a
typical distance error of 16% for a single BCG. We test for convergence
of the local flow on scales within 10,000 km/s (i.e., alignment of the
Local Group velocity vector with the cosmic microwave background (CMB)
dipole), but we find that our sample is not at rest with respect to the
CMB. The velocity of the local Group relative to the Abell cluster
sample is 561 +/- 284 km/s toward l = 220 deg, b = -28 deg (+/-27 deg),
using optimal redshift weighting. This vector is inconsistent with the
Local Group absolute space velocity inferred from the CMB dipole
anisotropy at 99.99% confidence. An extensive error analysis has been
conducted to validate this result. The result is extremely robust and is
insensitive to Galactic extinction, velocity biases, sample composition,
and geometry. If the CMB dipole is kinematic in origin, then this result
implies that the Abell cluster fram itself is moving at 689 +/- 178 km/s
toward l = 343 deg, b = +52 deg (+/- 23 deg), and that the CMB dipole is
generated largely by mass concentrations beyond 100/h Mpc.
We investigate the use of brightest cluster galaxies (BCGs) as standard
candles for measuring galaxy peculiar velocities on large scales. We
have obtained precise large-format CCD surface photometry and redshifts
for an all-sky, volume-limited (z less than or = 0.05) sample of 199
BCG. We reinvestigate the Hoessel (1980) relationship between the metric
luminosity, L(sub m), within the central 10 kpc/h of the BCGs and the
logarithmic slope of the surface brightness profile, alpha. The L(sub
m)-alpha relationship reduces the cosmic scatter in L(sub m) from 0.327
mag to 0.244 mag, yielding a typical distance accuracy of 17% per BCG.
Residuals about the L(sub m)-alpha relationship are independent of BCG
luminosity, BCG B - R(sub c) color, BCG location within the host
cluster, and richness of the host cluster. The metric luminosity is
independent of cluster richness even before correcting for its
dependence on alpha, which provides further evidence for the unique
nature of the BCG luminosity function. Indeed, the BCG luminosity
function, both before and after application of the alpha-correction, is
consistent with a single Gaussian distribution. Half the BCGs in the
sample show some evidence of small color gradients as a function of
radius within their central 50 kpc/h regions but with almost equal
numbers becoming redder as becoming bluer. However, with the central 10
kpc/h the colors are remarkably constant -- the mean B - R(sub c) color
is 1.51 with a dispersion of only 0.06 mag. The narrow photometric and
color distributions of the BCGs, the lack of 'second-parameter' effects,
as well as the unique rich cluster environment of BCGs, argue that BCGs
are the most homogeneous distance indicators presently available for
large-scale structure research.
Lauer and Postman (LP) observed that all Abell clusters with redshifts
less than 15,000 km/s appear to be participating in a bulk flow of 689
km/s with respect to the cosmic microwave background. We find this
result difficult to reconcile with all popular models for large-scale
structure formation that assume Gaussian initial conditions. This
conclusion is based on Monte Carlo realizations of the LP data, drawn
from large particle-mesh N-body simulations for six different models of
the initial power spectrum (standard, tilted, and Omega(sub 0) = 0.3
cold dark matter, and two variants of the primordial baryon isocurvature
model). We have taken special care to treat properly the
longest-wavelength components of the power spectra. The simulations are
sampled, 'observed,' and analyzed as identically as possible to the LP
cluster sample. Large-scale bulk flows as measured from clusters in the
simulations are in excellent agreement with those measured from the
grid: the clusters do not exhibit any strong velocity bias on large
scales. Bulk flows with amplitude as large as that reported by LP are
not uncommon in the Monte Carlo data stes; the distribution of measured
bulk flows before error bias subtraction is rougly Maxwellian, with a
peak around 400 km/s. However the chi squared of the observed bulk flow,
taking into account the anisotropy of the error ellipsoid, is much more
difficult to match in the simulations. The models examined are ruled out
at confidence levels between 94% and 98%.
We model the surface brightness profiles of a sample of 119 Abell
brightest cluster galaxies (BCGs), finding a generalized de Vaucouleurs
R^1/n^ law, where n is a free parameter, to be appropriate. Departures
from the R^1/4^ law are shown to be a real feature of galaxy profiles
and not due to observational errors or coupling of n with the other
model parameters. BCGs typically have values of n greater than 4. The
shape parameter n is shown to correlate with effective half-light
radius, such that the larger BCGs have larger values of n. This
continues a trend noticed amongst ordinary elliptical galaxies and dwarf
elliptical galaxies, such that the brighter galaxies have larger values
of n.
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