Galaxy bias and gauges at second order in General Relativity

Abstract

We discuss the question of gauge choice when analysing relativistic density perturbations at second order. We compare Newtonian and General Relativistic approaches. Some misconceptions in the recent literature are addressed. We show that the comoving-synchronous gauge is the unique gauge in General Relativity that corresponds to the Lagrangian frame and is entirely appropriate to describe the matter overdensity at second order. The comoving-synchronous gauge is the simplest gauge in which to describe Lagrangian bias at second order.

10 pages. Matches version published on CQG

References in corpus (10)

• Gravity and Large-Scale Non-local Bias
• Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
• Beyond the Linear-Order Relativistic Effect in Galaxy Clustering: Second-Order Gauge-Invariant Formalism
• Non-local Lagrangian bias
• Einstein's legacy in galaxy surveys
• Scale-dependent bias from primordial non-Gaussianity in general relativity
• Einstein's signature in cosmological large-scale structure
• General relativistic corrections and non-Gaussianity in large scale structure
• Relativistic Lagrangian displacement field and tensor perturbations
• Non-linear matter bispectrum in general relativity

Cited by in corpus (25)

• Large-Scale Galaxy Bias
• On Separate Universes
• General relativistic corrections to $N$-body simulations and the Zel'dovich approximation
• How Gaussian can our Universe be?
• Hamiltonian approach to 2nd order gauge invariant cosmological perturbations
• Gravity at the horizon: on relativistic effects, CMB-LSS correlations and ultra-large scales in Horndeski's theory
• Relativistic wide-angle galaxy bispectrum on the light-cone
• The Intrinsic Matter Bispectrum in $\Lambda$CDM
• The observed galaxy bispectrum from single-field inflation in the squeezed limit
• Wide-angle and relativistic effects in Fourier-space clustering statistics
• Imprints of local lightcone projection effects on the galaxy bispectrum. II
• Local primordial non-Gaussianity in the relativistic galaxy bispectrum
• Growth of structure in interacting vacuum cosmologies
• General relativistic effects in the galaxy bias at second order
• The galaxy bias at second order in general relativity with Non-Gaussian initial conditions
• A Relativistic Interpretation of Bias in Newtonian Simulations
• Relativistic perturbations in $\Lambda$CDM: Eulerian & Lagrangian approaches
• Contributions from primordial non-Gaussianity and General Relativity to the galaxy power spectrum
• Incompatibility of Standard Galaxy Bias Models in General Relativity
• Including relativistic and primordial Non-Gaussianity contributions in cosmological simulations by modifying the initial condition
• Long gradient mode and large-scale structure observables
• Linear Relativistic Corrections in the Spherical Fourier-Bessel Power Spectrum
• Relativistic and non-Gaussianity contributions to the one-loop power spectrum
• Breaking the Single Clock Symmetry: measuring single-field inflation non-Gaussian features
• Non-Gaussianity in the Squeezed Three-Point Correlation from the Relativistic Effects