Quick Search:

uzh logo
Browse by:
bullet
bullet
bullet
bullet

Zurich Open Repository and Archive

Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-30859

Lam, T Y; Sheth, R K; Desjacques, V (2009). The initial shear field in models with primordial local non-Gaussianity and implications for halo and void abundances. Monthly Notices of the Royal Astronomical Society, 399(3):1482-1494.

[img]
Preview
Accepted Version
PDF (Accepted manuscript, Version 2)
1MB

View at publisher
[img]
Preview
Accepted Version
PDF (Accepted manuscript, Version 1)
384kB

Abstract

We generalize the Doroshkevich's celebrated formulae for the eigenvalues of the initial shear field associated with Gaussian statistics to the local non-Gaussian fnl model. This is possible because, to at least second order in fnl , distributions at fixed overdensity are unchanged from the case fnl= 0 . We use this generalization to estimate the effect of fnl≠ 0 on the abundance of virialized haloes. Halo abundances are expected to be related to the probability that a certain quantity in the initial fluctuation field exceeds a threshold value, and we study two choices for this variable: it can either be the sum of the eigenvalues of the initial deformation tensor (the initial overdensity) or its smallest eigenvalue. The approach based on a critical overdensity yields results which are in excellent agreement with numerical measurements. We then use these same methods to develop approximations describing the sensitivity of void abundances on fnl . While a positive fnl produces more extremely massive haloes, it makes fewer extremely large voids. Its effect thus is qualitatively different from a simple rescaling of the normalization of the density fluctuation field σ8. Therefore, void abundances furnish complementary information to cluster abundances, and a joint comparison of both might provide interesting constraints on primordial non-Gaussianity.

Citations

15 citations in Web of Science®
18 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

17 downloads since deposited on 26 Feb 2010
5 downloads since 12 months

Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute for Computational Science
DDC:530 Physics
Uncontrolled Keywords:methods: analytical; large-scale structure of Universe
Language:English
Date:November 2009
Deposited On:26 Feb 2010 15:00
Last Modified:27 Nov 2013 19:18
Publisher:Wiley-Blackwell
ISSN:0035-8711
Funders:Swiss National Foundation [200021-116696/1]
Additional Information:The attached file is a preprint (accepted version) of an article published in Monthly Notices of the Royal Astronomical Society. The definitive version is available at www3.interscience.wiley.com
Publisher DOI:10.1111/j.1365-2966.2009.15363.x
Related URLs:http://arxiv.org/abs/0905.1706

Users (please log in): suggest update or correction for this item

Repository Staff Only: item control page