Scale-dependent bias from primordial non-Gaussianity in general relativity

David Wands, A. Slosar

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Abstract

In this note we examine the derivation of scale-dependent bias due to primordial non-Gaussianity of the local type in the context of general relativity. We justify the use of the Poisson equation in general relativistic perturbation theory and thus the derivation of scale-dependent bias as a test of primordial non-Gaussianity, using the spherical collapse model. The corollary is that the form of scale-dependent bias does not receive general relativistic corrections on scales larger than the Hubble radius. This leads to a formally divergent correlation function for biased tracers of the mass distribution which we discuss.
Original languageEnglish
Pages (from-to)123507
Number of pages1
JournalPhysical Review D
Volume79
Issue number12
DOIs
Publication statusPublished - 2009

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