The galaxy bias at second order in general relativity with Non-Gaussian initial conditions

Abstract

We present a systematic study of galaxy bias in the presence of primordial non-Gaussianity in General Relativity (GR) at second order in perturbation theory. The non-linearity of the Poisson equation in GR and primordial non-Gaussianity are consistently included. We show that the inclusion of non-local primordial non-Gaussianity in addition to local non-Gaussianity is important to show the absence of the modulation of small scale clustering by the long-wavelength mode in the single field slow-roll inflation. We study the bispectrum of the relativistic galaxy density in several gauges and identify the effect of primordial non-Gaussianity and GR corrections.

1+14+4 pages, two figures. Version accepted for publication, the conclusion and discussion remain unchanged

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Cited by in corpus (8)

• Local primordial non-Gaussianity in the relativistic galaxy bispectrum
• Decoupling Local Primordial non-Gaussianity from Relativistic Effects in the Galaxy Bispectrum
• Contributions from primordial non-Gaussianity and General Relativity to the galaxy power spectrum
• From matter to galaxies: General relativistic bias for the one-loop bispectrum
• Incompatibility of Standard Galaxy Bias Models in General Relativity
• Relativistic and non-Gaussianity contributions to the one-loop power spectrum
• Linear Relativistic Corrections in the Spherical Fourier-Bessel Power Spectrum
• Non-Gaussianity in the Squeezed Three-Point Correlation from the Relativistic Effects