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  1. 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 ...
    Author:Christian Fidler, Thomas Tram, Cornelius Rampf, Cornelius Rampf, Robert Crittenden, Kazuya Koyama, D...Published:2017
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  3. researchgate.net

    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.
  4. ar5iv.labs.arxiv.org

    The weak-field approximation requires that gravitational potentials (corresponding to metric perturbations about the background FLRW metric in general relativity) remain small and can be thought to be of order ϵ ∼ 10 − 5 similar-to italic-ϵ superscript 10 5 \epsilon\sim 10^{-5}, a dimensionless expansion parameter.Standard cosmological perturbation theory requires in addition that every ...
  5. apc.univ-paris-diderot.fr

    On the other hand, our study of large scale structure still relies on Newtonian N-body simulations. I show how standard Newtonian N-body simulations can be interpreted in terms of the weak-field limit of general relativity. Our framework allows the inclusion of radiation perturbations and the non-linear evolution of matter. I show how to ...
  6. We develop a formalism for General Relativistic N-body simulations in the weak field regime, ... Newtonian N-body simulations. Linear perturbation ... A general relativistic extension of N-body simulations will auto-matically include these effects, and since the metric is
  7. inspirehep.net

    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 develop... From 21 Dec 2023 to 06 Jan 2024 the INSPIRE team works on a reduced schedule and it will take a bit longer than usual to address your requests. ...
  8. cosmology.unige.ch

    The formation of cosmic large scale structure is a highly non-linear process and is therefore studied with numerical simulations. For this purpose, N-body simulations using Newton's law of gravity have been very successful. However, they are ultimately limited by the fact that Newtonian gravity is only an approximation to General Relativity and does not match its full dynamical content.
  9. We develop a formalism for General Relativistic N-body simulations in the weak field regime, suitable for cosmological applications. The problem is kept tractable by retaining the metric perturbations to first order, the first derivatives to second order and second derivatives to all orders, thus taking into account the most important nonlinear effects of Einstein gravity. It is also expected ...
  10. researchportal.port.ac.uk

    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 ...
  11. link.aps.org

    The correction to the background scale factor, which is a genuine backreaction effect, can be robustly obtained with our algorithm. Our numerical approach is also naturally suited for the inclusion of extra relativistic fields and thus for dark energy or modified gravity simulations.

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