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

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

2009-02-06

arxiv.org/abs/0902.1084v2

Phys.Rev.D79:123507,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

6 pages; v2: added discussion of bias and spherical collapse in the longitudinal gauge; matches version accepted to PRD

Scientific paper

10.1103/PhysRevD.79.123507

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.

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