General relativistic corrections and non-Gaussianity in large scale structure

Abstract

General relativistic cosmology cannot be reduced to linear relativistic perturbations superposed on an isotropic and homogeneous (Friedmann-Robertson-Walker) background, even though such a simple scheme has been successfully applied to analyse a large variety of phenomena (such as Cosmic Microwave Background primary anisotropies, matter clustering on large scales, weak gravitational lensing, etc.). The general idea of going beyond this simple paradigm is what characterises most of the efforts made in recent years: the study of second and higher-order cosmological perturbations including all general relativistic contributions -- also in connection with primordial non-Gaussianities -- the idea of defining large-scale structure observables directly from a general relativistic perspective, the various attempts to go beyond the Newtonian approximation in the study of non-linear gravitational dynamics, by using e.g., Post-Newtonian treatments, are all examples of this general trend. Here we summarise some of these directions of investigation, with the aim of emphasising future prospects in this area of cosmology, both from a theoretical and observational point of view.

arXiv comment20 pages. A review article submitted to CQG focus issue "Relativistic Effects in Cosmology". Typos corrected; Refs. added

References in corpus (59)

• Non-Gaussianity from Inflation: Theory and Observations
• Euclid Definition Study Report
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Primordial Non-Gaussianities from Inflation Models
• The linear power spectrum of observed source number counts
• What galaxy surveys really measure
• Relativistic second-order perturbations of the Einstein-de Sitter Universe
• Dark Energy from structure: a status report
• The effect of primordial non-Gaussianity on halo bias
• Large-scale structure, the cosmic microwave background, and primordial non-gaussianity
• Measuring primordial non-gaussianity without cosmic variance
• New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects
• Large-scale clustering of galaxies in general relativity
• On cosmic acceleration without dark energy
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity
• The Observed Squeezed Limit of Cosmological Three-Point Functions
• Scale-dependent bias induced by local non-Gaussianity: A comparison to N-body simulations
• Primordial non-Gaussianity and Bispectrum Measurements in the Cosmic Microwave Background and Large-Scale Structure
• Constraining primordial non-Gaussianity with future galaxy surveys
• A new framework for analyzing the effects of small scale inhomogeneities in cosmology
• Non-Gaussian halo bias and future galaxy surveys
• Disentangling non-Gaussianity, bias and GR effects in the galaxy distribution
• Detectability of the effect of Inflationary non-Gaussianity on halo bias
• Improved Primordial Non-Gaussianity Constraints from Measurements of Galaxy Clustering and the Integrated Sachs-Wolfe Effect
• Connection between Newtonian simulations and general relativity
• Constraints on primordial non-Gaussianity from 800,000 photometric quasars
• Beyond the Linear-Order Relativistic Effect in Galaxy Clustering: Second-Order Gauge-Invariant Formalism
• Primordial non-Gaussianity in the Bispectrum of the Halo Density Field
• Newtonian and Relativistic Cosmologies
• Unified treatment of cosmological perturbations from super-horizon to small scales
• Averaging inhomogeneous Newtonian cosmologies
• Beyond the plane-parallel and Newtonian approach: Wide-angle redshift distortions and convergence in general relativity
• Optimal Constraints on Local Primordial Non-Gaussianity from the Two-Point Statistics of Large-Scale Structure
• Galaxy number counts to second order and their bispectrum
• The bispectrum of redshifted 21-cm fluctuations from the dark ages
• Do stochastic inhomogeneities affect dark-energy precision measurements?
• Lagrangian Dynamics in Non-Flat Universes and Non-Linear Gravitational Evolution
• Post-Newtonian Cosmological Dynamics in Lagrangian coordinates
• Computing General Relativistic effects from Newtonian N-body simulations: Frame dragging in the post-Friedmann approach
• The Mildly Non-Linear Regime of Structure Formation
• Scale-dependent bias from primordial non-Gaussianity in general relativity
• Primordial non-Gaussianity from the covariance of galaxy cluster counts
• Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification. I - Key results
• Constraining primordial non-Gaussianity via a multitracer technique with surveys by Euclid and Square Kilometre Array
• Cosmological Parameters Degeneracies and Non-Gaussian Halo Bias
• Cosmological Dynamics
• Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification. II - Derivation
• Non-Gaussian initial conditions in $\Lambda$CDM: Newtonian, relativistic and primordial contributions
• The Zel'dovich-type approximation for an inhomogeneous universe in general relativity: second-order solutions
• Second-order matter perturbations in a LambdaCDM cosmology and non-Gaussianity
• The clustering of galaxies and galaxy clusters: constraints on primordial non-Gaussianity from future wide-field surveys
• Eulerian Perturbation Theory in Non-Flat Universes: Second-Order Approximation
• Redshift and distances in a ΛCDM cosmology with non-linear inhomogeneities
• Einstein's signature in cosmological large-scale structure
• Exact nonlinear inhomogeneities in $\Lambda$CDM cosmology
• Frame dragging and Eulerian frames in General Relativity
• Can we really measure fnl from the galaxy power spectrum?
• Post-Newtonian cosmological dynamics of plane-parallel perturbations and back-reaction
• Mild quasi-local non-Gaussianity as a signature of modified gravity during inflation

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• Large-Scale Galaxy Bias
• Einstein's legacy in galaxy surveys
• The missing link: a nonlinear post-Friedmann framework for small and large scales
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• Non-Gaussianities due to Relativistic Corrections to the Observed Galaxy Bispectrum
• Is There Scale-Dependent Bias in Single-Field Inflation?
• Galaxy Power Spectrum in General Relativity
• Galaxy bias and gauges at second order in General Relativity
• Resilience of long modes in cosmological observables
• A relativistic signature in large-scale structure
• Lagrangian theory for cosmic structure formation with vorticity: Newtonian and post-Friedmann approximations
• Large-scale imprint of relativistic effects in the cosmic magnification
• Relativistic perturbations in $\Lambda$CDM: Eulerian & Lagrangian approaches
• Understanding the relativistic overdensity of galaxy surveys
• Relativistic second-order initial conditions for simulations of large-scale structure
• Incompatibility of Standard Galaxy Bias Models in General Relativity
• Relativistic matter bispectrum of cosmic structures on the light cone
• Non-Gaussianity in the Squeezed Three-Point Correlation from the Relativistic Effects