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

## TL;DR

This paper systematically analyzes galaxy bias at second order in general relativity considering primordial non-Gaussianity, highlighting the importance of non-local effects and gauge choices in understanding galaxy clustering.

## Contribution

It provides a comprehensive second-order relativistic framework for galaxy bias with primordial non-Gaussianity, including non-local effects and gauge-dependent bispectrum analysis.

## Key findings

- Non-local primordial non-Gaussianity affects galaxy clustering.
- GR corrections influence the relativistic galaxy bispectrum.
- Absence of modulation in small-scale clustering for single field inflation.

## 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.