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The abundance of high-redshift objects as a probe of non-Gaussian initial conditions

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arxiv astro-ph/0001366 v2 pith:WC5ZOZSO submitted 2000-01-21 astro-ph

classification astro-ph
keywords densityabundanceobjectshigh-redshiftnon-gaussiannon-gaussianitycomputefield
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abstract

The observed abundance of high-redshift galaxies and clusters contains precious information about the properties of the initial perturbations. We present a method to compute analytically the number density of objects as a function of mass and redshift for a range of physically motivated non-Gaussian models. In these models the non-Gaussianity can be dialed from zero and is assumed to be small. We compute the probability density function for the smoothed dark matter density field and we extend the Press and Schechter approach to mildly non-Gaussian density fields. The abundance of high-redshift objects can be directly related to the non-Gaussianity parameter and thus to the physical processes that generated deviations from the Gaussian behaviour. Even a skewness parameter of order 0.1 implies a dramatic change in the predicted abundance of $z\gap 1$ objects. Observations from NGST and X-ray satellites (XMM) can be used to accurately measure the amount of non-Gaussianity in the primordial density field.

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Cited by 5 Pith papers

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