The void abundance with non-gaussian primordial perturbations
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 fnl 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 fnl ≾ 10 and fnleq ≾ 30, over distance scales ~ 10 Mpc.
Additional Information© 2009 IOP Publishing Limited and SISSA. Received 2 September 2008, accepted for publication 29 November 2008. Published 8 January 2009. MK thanks Andrew Benson for useful suggestions and the Aspen Center for Physics for hospitality. This work was supported at Caltech by DoE DE-FG03-92-ER40701 and the Gordon and Betty Moore Foundation. LV thanks M. LoVerde for providing the curves of figure 3(a,b) of ref.  in table form. LV is supported by FP7-PEOPLE-2007-4-3 IRG n 202182 and CSIC I3 grant 200750I034. RJ is supported by grants from the Spanish Science Ministry and The European Union (FP7).
Published - KAMjcap09.pdf