Relativistic effects and primordial non-Gaussianity in the galaxy bias

Details Relativistic effects and primordial non-Gaussianity in the galaxy bias Relativistic effects and primordial non-Gaussianity in the galaxy bias

2010-11-19

arxiv.org/abs/1011.4374v2

JCAP04(2011)011

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

12 pages, LaTeX file; version accepted for publication in JCAP

Scientific paper

10.1088/1475-7516/2011/04/011

When dealing with observables, one needs to generalize the bias relation between the observed galaxy fluctuation field to the underlying matter distribution in a gauge-invariant way. We provide such relation at second-order in perturbation theory adopting the local Eulerian bias model and starting from the observationally motivated uniform-redshift gauge. Our computation includes the presence of primordial non-Gaussianity. We show that large scale-dependent relativistic effects in the Eulerian bias arise independently from the presence of some primordial non-Gaussianity. Furthermore, the Eulerian bias inherits from the primordial non-Gaussianity not only a scale-dependence, but also a modulation with the angle of observation when sources with different biases are correlated.

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