Quantitative approach to the topology of large-scale structure. [For galactic clustering computation]
A quantitative measure of the topology of large-scale structure: the genus of density contours in a smoothed density distribution, is described and applied. For random phase (Gaussian) density fields, the mean genus per unit volume exhibits a universal dependence on threshold density, with a normalizing factor that can be calculated from the power spectrum. If large-scale structure formed from the gravitational instability of small-amplitude density fluctuations, the topology observed today on suitable scales should follow the topology in the initial conditions. The technique is illustrated by applying it to simulations of galaxy clustering in a flat universe dominated by cold dark matter. The technique is also applied to a volume-limited sample of the CfA redshift survey and to a model in which galaxies reside on the surfaces of polyhedral bubbles. The topology of the evolved mass distribution and biased galaxy distribution in the cold dark matter models closely matches the topology of the density fluctuations in the initial conditions. The topology of the observational sample is consistent with the random phase, cold dark matter model. 22 references.
- Research Organization:
- Princeton Univ. Observatory, NJ; Kansas Univ., Lawrence
- OSTI ID:
- 5966443
- Journal Information:
- Astrophys. J.; (United States), Vol. 319
- Country of Publication:
- United States
- Language:
- English
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GENERAL PHYSICS
GALAXY CLUSTERS
COSMOLOGICAL MODELS
UNIVERSE
MASS DISTRIBUTION
COSMOLOGY
DENSITY
FLUCTUATIONS
GALACTIC EVOLUTION
NONLUMINOUS MATTER
RED SHIFT
TOPOLOGY
DISTRIBUTION
MATHEMATICAL MODELS
MATHEMATICS
PHYSICAL PROPERTIES
SPATIAL DISTRIBUTION
VARIATIONS
640105* - Astrophysics & Cosmology- Galaxies
640106 - Astrophysics & Cosmology- Cosmology