Do Newtonian large-scale structure simulations fail to include relativistic effects?
arXiv:1503.02326 · doi:10.1103/PhysRevD.92.023511
Abstract
The Newtonian simulations describing the formation of large-scale structures do not include relativistic effects. A new approach to this problem is proposed, which consists of splitting the Hawking-Hayward quasi-local energy of a closed spacelike 2-surface into a "Newtonian" part due to local perturbations and a "relativistic" part due to the cosmology. It is found that the Newtonian part dominates over the relativistic one as time evolves, lending support to the validity of Newtonian simulations.
7 pages
References in corpus (20)
- On average properties of inhomogeneous fluids in general relativity I: dust cosmologies
- Gravitational Energy in Spherical Symmetry
- Cosmological Tests of Gravity
- Quasi-Local Gravitational Energy
- On cosmic acceleration without dark energy
- Dark energy from backreaction
- Linking Tests of Gravity On All Scales: from the Strong-Field Regime to Cosmology
- Influence of global cosmological expansion on local dynamics and kinematics
- Connection between Newtonian simulations and general relativity
- Testing backreaction effects with observations
- Newtonian and Relativistic Cosmologies
- Correspondence between kinematical backreaction and scalar field cosmologies - the `morphon field'
- Regional averaging and scaling in relativistic cosmology
- General Relativistic N-body simulations in the weak field limit
- On the curvature of the present-day Universe
- N-body methods for relativistic cosmology
- The Spatial Averaging Limit of Covariant Macroscopic Gravity - Scalar Corrections to the Cosmological Equations
- Exploring degeneracies in modified gravity with weak lensing
- Horizon thermodynamics and spacetime mappings
- Backreaction Issues in Relativistic Cosmology and the Dark Energy Debate
Cited by in corpus (11)
- Turnaround radius in an accelerated universe with quasi-local mass
- Beyond lensing by the cosmological constant
- Hawking-Hayward quasi-local energy under conformal transformations
- Turnaround size of non-spherical structures
- Cosmological applications of the Brown-York quasilocal mass
- Turnaround physics beyond spherical symmetry
- Quasilocal mass in scalar-tensor gravity: spherical symmetry
- Spacetime mappings of the Brown-York quasilocal energy
- Energy of cosmological spacetimes and perturbations: a quasilocal approach
- Turnaround radius in scalar-tensor gravity with quasilocal mass
- Friedmann-Lemaître-Robertson-Walker cosmology through the lens of gravitoelectromagnetism