Cosmological Implications of the Fundamental Relations of X-ray Clusters

Abstract

Based on the two-parameter family nature of X-ray clusters of galaxies obtained in a separate paper, we discuss the formation history of clusters and cosmological parameters of the universe. Utilizing the spherical collapse model of cluster formation, and assuming that the cluster X-ray core radius is proportional to the virial radius at the time of the cluster collapse, the observed relations among the density, radius, and temperature of clusters imply that cluster formation occurs in a wide range of redshift. The observed relations favor the low-density universe. Moreover, we find that the model of $n\sim -1$ is preferable.

7 pages, 4 figures. To be published in ApJ Letters

References in corpus (1)

• The X-ray Fundamental Plane and $L_X-T$ Relation of Clusters of Galaxies

Cited by in corpus (16)

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• The scaling relations of galaxy clusters and their dark matter halos
• Discovery of a new fundamental plane dictating galaxy cluster evolution from gravitational lensing
• The X-ray Fundamental Plane and $L_X-T$ Relation of Clusters of Galaxies
• Stability Analysis for Cosmic-Ray Heating of Cool Cores in Galaxy Clusters
• X-ray Study of Seventy-nine Distant Clusters of Galaxies: Discovery of Two Classes of Cluster Size
• A Possible Energy Mechanism for Cosmological Gamma-ray Bursts
• The Variation of Gas Mass Distribution in Galaxy Clusters: Effects of Preheating and Shocks
• A Fundamental Plane Relation for the X-Ray Gas in Normal Elliptical Galaxies
• A New Interpretation of the Mass-Temperature Relation and Mass Calibration of Galaxy Clusters Based on the Fundamental Plane
• Evolution of Hard X-Ray Radiation from Clusters of Galaxies: Bremsstrahlung or Inverse Compton Scattering?
• Effects of Formation Epoch Distribution on X-Ray Luminosity and Temperature Functions of Galaxy Clusters
• Systems of Galaxies in the SDSS: the fundamental plane