The void abundance with non-gaussian primordial perturbations

2008/09/03 by Marc Kamionkowski, Licia Verde, Raul Jimenez · 2 citations
Physics and Astronomy · #Abundance (ecology) #Bispectrum #Cosmology and Gravitation Theories #Equilateral triangle #Galaxies: Formation, Evolution, Phenomena #Inflation (cosmology) #Local Void #Non-Gaussianity #Skewness #Stellar, planetary, and galactic studies #Void (composites) #astro-ph

paper · pdf · doi:10.1088/1475-7516/2009/01/010

published as JCAP (2008) 01 010 · Submitted to JCAP

arxiv created 2008/09/03 · openalex publication_date 2009/01/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We use a Press-Schechter-like calculation to study how the abundance of voids changes in models with non-Gaussian initial conditions. While a positive skewness increases the cluster abundance, a negative skewness does the same for the void abundance. We determine the dependence of the void abundance on the non-Gaussianity parameter f nl for the local-model bispectrum—which approximates the bispectrum in some multi-field inflation models—and for the equilateral bispectrum, which approximates the bispectrum in single-field slow-roll inflation and in string-inspired DBI models of inflation. We show that the void abundance in large-scale-structure surveys currently being considered should probe values as small as f nl ≲ 10 and f nl eq ≲ 30, over distance scales ∼ 10 Mpc.

Citations

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Cited by

• Halo abundances in thefnlmodel
• The initial shear field in models with primordial local non-Gaussianity and implications for halo and void abundances