SDSS DR7 superclusters. Principal component analysis

Abstract

We apply the principal component analysis and Spearman's correlation test to study the properties of superclusters drawn from the SDSS DR7. We analyse possible selection effects in the supercluster catalogue, study the physical and morphological properties of superclusters, find their possible subsets, and determine scaling relations for superclusters. We show that the parameters of superclusters do not correlate with their distance. The correlations between the physical and morphological properties of superclusters are strong. Superclusters can be divided into two populations according to their total luminosity. High-luminosity superclusters form two sets, more elongated systems with the shape parameter K_1/K_2 < 0.5 and less elongated ones with K_1/K_2 > 0.5. The first two principal components account for more than 90% of the variance in the supercluster parameters and define the fundamental plane, which characterises the physical and morphological properties of superclusters. We use principal component analysis to derive scaling relations for superclusters, in which we combine the physical and morphological parameters of superclusters. Structure formation simulations for different cosmologies, and more data about the local and high redshift superclusters are needed to understand better the evolution and the properties of superclusters.

13 pages, 10 figures, accepted for publication in Astronomy and Astrophysics

References in corpus (20)

• K-corrections and filter transformations in the ultraviolet, optical, and near infrared
• The ALHAMBRA Project: A large area multi medium-band optical and NIR photometric survey
• Superclusters of galaxies from the 2dF redshift survey. I. The catalogue
• Shapley Optical Survey II: The effect of environment on the colour-magnitude relation and galaxy colours
• The Fundamental Plane of Early Type Galaxies in Nearby Clusters from the WINGS Database
• The Complex Structure of the Cl 1604 Supercluster at z~0.9
• Anatomy of luminosity functions: the 2dFGRS example
• Superclusters of galaxies from the 2dF redshift survey. II. Comparison with simulations
• Topology of structure in the Sloan Digital Sky Survey: model testing
• The Limits of Bound Structures in the Accelerating Universe
• The Return of a Static Universe and the End of Cosmology
• Luminous superclusters: remnants from inflation
• Superclusters of galaxies in the 2dF redshift survey. III. The properties of galaxies in superclusters
• The discovery of a massive supercluster at z=0.9 in the UKIDSS DXS
• Mass, Light and Colour of the Cosmic Web in the Supercluster SCL2243-0935 (z=0.447)
• Multi-scale morphology of the galaxy distribution
• Exploring star formation using the filaments in the Sloan Digital Sky Survey Data Release Five (SDSS DR5)
• The Shape, Multiplicity, and Evolution of Superclusters in LambdaCDM Cosmology
• The Future of the Local Large Scale Structure: the roles of Dark Matter and Dark Energy
• The richest superclusters. I. Morphology

Cited by in corpus (13)

• Multimodality in galaxy clusters from SDSS DR8: substructure and velocity distribution
• Two New Catalogues of Superclusters of Abell/ACO Galaxy Clusters out to redshift 0.15
• Multimodality of rich clusters from the SDSS DR8 within the supercluster-void network
• Disentangling correlated scatter in cluster mass measurements
• The structure of the merging RCS 231953+00 Supercluster at z ~ 0.9
• Stellar populations in superclusters of galaxies
• BOSS Great Wall: morphology, luminosity, and mass
• The XXL Survey: XXX. Characterisation of the XLSSsC N01 supercluster and analysis of the galaxy stellar populations
• The shape distribution of superclusters in SDSS DR 12
• Quasi-spherical superclusters
• Galaxy Superclusters and Their Complexes in the Cosmic Web
• Impact of cosmic web on galaxy properties and their correlations: Insights from Principal Component Analysis
• How do supernova remnants cool? II. Machine learning analysis of supernova remnant simulations