The cluster abundance in cosmic string models for structure formation

Details The cluster abundance in cosmic string models for structure formation The cluster abundance in cosmic string models for structure formation

1999-06-18

arxiv.org/abs/astro-ph/9906313v1

Mon.Not.Roy.Astron.Soc. 318 (2000) 329-332

Astronomy and Astrophysics

Astrophysics

5 pages, 2 figures

Scientific paper

We use the present observed number density of large X-ray clusters to constrain the amplitude of matter density perturbations induced by cosmic strings on the scale of $8 h^{-1}$Mpc ($\sigma_8$), in both open cosmologies and flat models with a non-zero cosmological constant. We find a slightly lower value of $\sigma_8$ than that obtained in the context of primordial Gaussian fluctuations generated during inflation. This lower normalization of $\sigma_8$ results from the mild non-Gaussianity on cluster scales, where the one point probability distribution function is well approximated by a $\chi^2$ distribution. We use our estimate of $\sigma_8$ to constrain the string linear energy density $\mu$ and show that it is consistent with the COBE normalization.

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