General relativistic weak-field limit and Newtonian N-body simulations

Abstract

We show how standard Newtonian N-body simulations can be interpreted in terms of the weak-field limit of general relativity by employing the recently developed Newtonian motion gauge. Our framework allows the inclusion of radiation perturbations and the non-linear evolution of matter. We show how to construct the weak-field metric by combining Newtonian simulations with results from Einstein-Boltzmann codes. We discuss observational effects on weak lensing and ray tracing, identifying important relativistic corrections.

arXiv comment22 pages, 3 figures; accepted for publication at JCAP

References in corpus (22)

• The cosmological simulation code GADGET-2
• Cosmological Hydrodynamics with Adaptive Mesh Refinement: a new high resolution code called RAMSES
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Cosmological perturbations
• The linear power spectrum of observed source number counts
• What galaxy surveys really measure
• New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects
• A new framework for analyzing the effects of small scale inhomogeneities in cosmology
• General relativity and cosmic structure formation
• Newtonian and Relativistic Cosmologies
• General Relativistic N-body simulations in the weak field limit
• An adaptively refined phase-space element method for cosmological simulations and collisionless dynamics
• General relativistic corrections to $N$-body simulations and the Zel'dovich approximation
• The CMB bispectrum from recombination
• The missing link: a nonlinear post-Friedmann framework for small and large scales
• LIGER: mock relativistic light-cones from Newtonian simulations
• The effect of early radiation in N-body simulations of cosmic structure formation
• Cosmological $N$-body simulations including radiation perturbations
• Zel'dovich approximation and General Relativity
• Cosmology on all scales: a two-parameter perturbation expansion
• Lagrangian theory for cosmic structure formation with vorticity: Newtonian and post-Friedmann approximations
• Perturbation theory for cosmologies with non-linear structure

Cited by in corpus (37)

• The FLAMINGO project: cosmological hydrodynamical simulations for large-scale structure and galaxy cluster surveys
• Large-scale dark matter simulations
• Accurate initial conditions for cosmological N-body simulations: Minimizing truncation and discreteness errors
• An optimal nonlinear method for simulating relic neutrinos
• Bias and scatter in the Hubble diagram from cosmological large-scale structure
• Fully relativistic treatment of light neutrinos in $N$-body simulations
• Weak-lensing observables in relativistic N-body simulations
• The Limited Accuracy of Linearized Gravity
• Cosmological perturbations for two cold fluids in $\Lambda$CDM
• A new approach to cosmological structure formation with massive neutrinos
• Viable Gauge Choices in Cosmologies with Non-Linear Structures
• Fast simulations of cosmic large-scale structure with massive neutrinos
• Dark energy perturbations in $N$-body simulations
• Simulation techniques for modified gravity
• Relativistic cosmological large scale structures at one-loop
• The relativistic galaxy number counts in the weak field approximation
• General relativistic effects in the galaxy bias at second order
• $\text{fRevolution}$ $-$ Relativistic Cosmological Simulations in $f(R)$ Gravity I: Methodology
• Structure formation with primordial black holes: collisional dynamics, binaries, and gravitational waves
• The large-scale general-relativistic correction for Newtonian mocks
• General Relativistic Cosmological N-body Simulations I: time integration
• Geodesic motion and phase-space evolution of massive neutrinos
• Observing relativistic features in large-scale structure surveys -- II: Doppler magnification in an ensemble of relativistic simulations
• Relativistic bias in neutrino cosmologies
• Relativistic Corrections to the Growth of Structure in Modified Gravity
• Understanding the Dyer-Roeder approximation as a consequence of local cancellations of projected shear and expansion rate fluctuations
• Fully relativistic predictions in Horndeski gravity from standard Newtonian N-body simulations
• A Minimal Model for Massive Neutrinos in Newtonian N-body Simulations
• Cosmological screening and the phantom braneworld model
• Isolating non-linearities of light propagation in inhomogeneous cosmologies
• Perturbed redshifts from N-body simulations
• Does spatial flatness forbid the turnaround epoch of collapsing structures?
• First investigation of void statistics in numerical relativity simulations
• Suitable Initial Conditions for Newtonian Simulations with Massive Neutrinos
• A Relativistic Interpretation of Bias in Newtonian Simulations
• Incompatibility of Standard Galaxy Bias Models in General Relativity
• Suppression of matter density growth at scales exceeding the cosmic screening length