Abundance and evolution of galaxy clusters in cosmological models with massive neutrino

Abstract

The time evolution of the number density of galaxy clusters and their mass and temperature functions are used to constrain cosmological parameters in the spatially flat dark matter models containing a fraction of hot particles (massive neutrino) additional to cold and baryonic matter. We test the modified MDM models with cosmic gravitational waves and show that they neither pass the cluster evolution test nor reproduce the observed height of the first acoustic peak in $\Delta T/T$ spectrum, and therefore should be ruled out. The models with a non-zero cosmological constant are in better agreement with observations. We estimate the free cosmological parameters in $\Lambda$MDM with a negligible abundance of gravitational waves, and find that within the parameter ranges $h\in (0.6,0.7)$, $n\in (0.9,1.1)$, (i) the value of ${\Omega }_{\Lambda }$ is strongly affected by a small fraction of hot dark matter, $f_{\nu }\equiv {\Omega }_{\nu }/{\Omega }_m\in (0,0.2)$: $0.45<{\Omega }_{\Lambda }<0.7$ ($1\sigma$ CL), and (ii) the redshift evolution of galaxy clusters alone reveals the following explicit correlation between ${\Omega }_{\Lambda }$ and $f_{\nu }$: ${\Omega }_{\Lambda }+0.5f_{\nu }=0.65\pm 0.1$. The present accuracy of observational data allows only to bound the fraction of hot matter, $f_{\nu }\in (0,0.2)$ (the number of massive neutrino species remains undelimited, $N_{\nu }=1,2,3$).

9 pages, 7 figures, submitted in A&A

References in corpus (4)

• Cosmology from Maxima-1, Boomerang and COBE/DMR CMB Observations
• Measuring Cosmological Parameters from the Evolution of Cluster X-ray Temperatures
• Cosmological parameters from complementary observations of the Universe
• Constraining Cosmological Models by the Cluster Mass Function

Cited by in corpus (8)

• A new upper limit on the total neutrino mass from the 2dF Galaxy Redshift Survey
• Upper limits on neutrino masses from the 2dFGRS and WMAP: the role of priors
• Neutrino Masses from Cosmological Probes
• Galaxy cluster number count data constraints on cosmological parameters
• Dissecting the spin distribution of Dark Matter halos
• Neutrino Mass Limit from Galaxy Cluster Number Density Evolution
• Weighing Neutrinos with Large-Scale Structure
• Massive Neutrinos Promote the Size Growth of Early-Type Galaxies