The ROSAT-ESO Flux-Limited X-Ray (REFLEX) Galaxy Cluster Survey VI: Constraints on the cosmic matter density from the KL power spectrum

Abstract

The Karhunen-Loéve (KL) eigenvectors and eigenvalues of the sample correlation matrix are used to analyse the spatial fluctuations of the REFLEX clusters of galaxies. The method avoids the disturbing effects of correlated power spectral densities which affects all previous cluster measurements on Gpc scales. Comprehensive tests use a large set of independent REFLEX-like mock cluster samples extracted from the Hubble Volume Simulation. It is found that unbiased measurements on Gpc scales are possible with the REFLEX data. The distribution of the KL eigenvalues are consistent with a Gaussian random field on the 93.4% confidence level. Assuming spatially flat cold dark matter models, the marginalization of the likelihood contours over different sample volumes, fiducial cosmologies, mass/X-ray luminosity relations and baryon densities, yields the 95.4% confidence interval for the matter density of $0.03<{\Omega }_m{h}^2<0.19$. The N-body simulations show that cosmic variance, although difficult to estimate, is expected to increase the confidence intervals by about 50%.

11 pages, 7 figures, accepted for publication in MNRAS

References in corpus (10)

• Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant
• The Mass Function of an X-Ray Flux-Limited Sample of Galaxy Clusters
• The 2dF Galaxy Redshift Survey: The power spectrum and the matter content of the universe
• A measurement by BOOMERANG of multiple peaks in the angular power spectrum of the cosmic microwave background
• Galaxy Clusters in Hubble Volume Simulations: Cosmological Constraints from Sky Survey Populations
• Measuring ${\Omega }_m$ with the ROSAT Deep Cluster Survey
• The ROSAT-ESO Flux Limited X-Ray (REFLEX) Galaxy Cluster Survey I: The Construction of the Cluster Sample
• X-ray Clusters of Galaxies as Tracers of Structure in the Universe
• The ROSAT-ESO Flux-Limited X-Ray (REFLEX) Galaxy Cluster Survey III: The Power Spectrum
• The Power Spectrum of Flux Limited X-Ray Galaxy Cluster Surveys

Cited by in corpus (23)

• Cosmological Parameters from Observations of Galaxy Clusters
• The ROSAT-ESO Flux Limited X-ray (REFLEX) Galaxy Cluster Survey. V. The cluster catalogue
• Near-IR Properties of Galaxy Clusters: Luminosity as a Binding Mass Predictor and the State of Cluster Baryons
• The Representative XMM-Newton Cluster Structure Survey (REXCESS) of an X-ray Luminosity Selected Galaxy Cluster Sample
• The REFLEX Galaxy Cluster Survey VII: Omega_m and sigma_8 from cluster abundance and large-scale clustering
• Observational Constraints on General Relativistic Energy Conditions, Cosmic Matter Density and Dark Energy from X-Ray Clusters of Galaxies and Type-Ia Supernovae
• X-ray mass proxies from hydrodynamic simulations of galaxy clusters (paper I)
• The extended ROSAT-ESO Flux Limited X-ray Galaxy Cluster Survey (REFLEX II) IV. X-ray Luminosity Function and First Constraints on Cosmological Parameters
• The extended ROSAT-ESO Flux Limited X-ray Galaxy Cluster Survey (REFLEX II)\\ II. Construction and Properties of the Survey
• The Cosmic Large-Scale Structure in X-rays (CLASSIX) Cluster Survey I: Probing galaxy cluster magnetic fields with line of sight rotation measures
• Observational evidence for a local underdensity in the Universe and its effect on the measurement of the Hubble Constant
• The REFLEX galaxy cluster survey. VIII. Spectroscopic observations and optical atlas
• Cosmology with clusters of galaxies
• The extended ROSAT-ESO Flux-Limited X-ray Galaxy Cluster Survey (REFLEX II) V. Exploring a local underdensity in the Southern Sky
• Detection of X-ray Clusters of Galaxies by Matching RASS Photons and SDSS Galaxies within GAVO
• Eigenmode Analysis of Galaxy Distributions in Redshift Space
• Cosmological constraints from the cluster contribution to the power spectrum of the soft X-ray background. New evidence for a low sigma_8
• The Cosmic Large-Scale Structure in X-rays (CLASSIX) cluster survey IV: Superclusters in the local Universe at z <= 0.03
• Clustering of CODEX clusters
• The Cosmic Large-Scale Structure in X-rays (CLASSIX) Cluster Survey II: Unveiling a pancake structure with a 100 Mpc radius in the local Universe
• The Cosmic Large-Scale Structure in X-rays (CLASSIX) Cluster Survey III: The Perseus-Pisces supercluster and the Southern Great Wall as traced by X-ray luminous galaxy clusters
• X-ray cluster cosmology
• Towards an optimal extraction of cosmological parameters from galaxy cluster surveys using convolutional neural networks