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 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) less than or similar to 10 and f(nl)(eq)less than or similar to 30, over distance scales similar to 10Mpc.