Cluster Formation Rate in Models with Dark Energy

Abstract

Based on flat Friedmann-Robertson Walker cold dark matter (CDM) type models driven by non-relativistic matter and an exotic fluid (quintessence) with an equation of state: $p_Q=w{\rho }_Q$ ($-1\le w<0$), we investigate whether or not the large scale dynamical effects regarding the cluster formation and virialization are related to the cosmic equation of state. Using the non-linear spherical collapse we find that the cluster formation rate, in quintessence models, is intermediate between the open and $\Lambda$CDM respectively. For the QCDM case, using the virial theorem and energy conservation and assuming a spherical mass overdensity shell, we obtain analytically the ratio between the final (virial) and the turn-around radius. We find that the above ratio is almost independent from the equation of state.

13 pages, including 3 figures, accepted for publication in ApJ Vol: 590, June 2003. Minor changes

References in corpus (2)

• Constraining the cosmological parameters with the gas mass fraction in local and z>0.7 Galaxy Clusters
• Probing the dark energy with strong lensing by clusters of galaxies

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