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The collapse of a collisionless self-gravitating system, with the fast achievement of a quasi-stationary state, is driven by violent relaxation, with a typical particle interacting with the time-changing collective potential. It is…

Astrophysics of Galaxies · Physics 2017-09-21 Leandro Beraldo e Silva , Walter de Siqueira Pedra , Laerte Sodré , Eder Perico , Marcos Lima

N-body simulations are essential for understanding the formation and evolution of structure in the Universe. However, the discrete nature of these simulations affects their accuracy when modelling collisionless systems. We introduce a new…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-18 Oliver Hahn , Raul E. Angulo

Early-type galaxies exhibit a wealth of photometric and dynamical structures. These signatures are fossil records of their formation and evolution processes. In order to examine these structures in detail, we build models aimed at…

Astrophysics · Physics 2015-05-13 Emilie Jourdeuil , Eric Emsellem

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…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-12 Christian Fidler , Thomas Tram , Cornelius Rampf , Robert Crittenden , Kazuya Koyama , David Wands

We present a general method which can be used for geometrical and physical interpretation of an arbitrary spacetime in four or any higher number of dimensions. It is based on the systematic analysis of relative motion of free test…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Jiri Podolsky , Robert Svarc

We present a novel solver for an analogue to Poisson's equation in the framework of modified Newtonian dynamics (MOND). This equation is highly non-linear and hence standard codes based upon tree structures and/or FFT's in general are not…

Astrophysics · Physics 2009-11-13 Claudio Llinares , Alexander Knebe , HongSheng Zhao

In this work we study the cosmological simulations as a tool to understand the formation of large-scale structure of the universe, for this, we show the equivalence of Newtonian cosmology with Poisson gauge and we study the solution of the…

Astrophysics of Galaxies · Physics 2014-09-05 J. E. García Farieta , L. Castañeda , J. M. Tejeiro

The stability of a galaxy model is most easily assessed through N-body simulation. Particle-mesh codes have been widely used for this purpose, since they enable the largest numbers of particles to be employed. We show that the functional…

Astrophysics · Physics 2009-10-28 David J. D. Earn , J. A. Sellwood

We present KGB-evolution, a relativistic $N$-body simulation code that extends the $k$-evolution code by incorporating an effective field theory parameterization of kinetic gravity braiding, while also including the $k$-essence model as a…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-07 Ahmad Nouri-Zonoz , Farbod Hassani , Emilio Bellini , Martin Kunz

The development of numerical N -body simulations have allowed to study formation process and evolution of galaxies at different scales. This paper presents the fundamental concepts of N-body systems applied to the cosmological evolution of…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-12 Jazhiel Chacon , J. Alberto Vazquez , Ruslan Gabbasov

A number of codes for general-relativistic simulations of cosmological structure formation have been developed in recent years. Here we demonstrate that a sample of these codes produce consistent results beyond the Newtonian regime. We…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-20 Julian Adamek , Cristian Barrera-Hinojosa , Marco Bruni , Baojiu Li , Hayley J. Macpherson , James B. Mertens

The large-scale structure in the Universe is believed to arise out of small random density perturbations generated in the very early Universe, that are amplified by gravity. Large and usually intricate N-body simulations are typically…

Astrophysics · Physics 2009-10-28 Sergei F. Shandarin , B. S. Sathyaprakash

This posting announces public availability of the GALAXY software package developed by the author over the past 40 years. It is a highly efficient code for the evolution of (almost) isolated, collisionless stellar systems, both disk-like…

Instrumentation and Methods for Astrophysics · Physics 2014-06-26 J. A. Sellwood

This paper describes an N-body model for the dynamical evolution of the nearby globular cluster M4. The initial conditions, with N = 484710 particles, were generated from a published study of this cluster with a Monte Carlo code. With the…

Astrophysics of Galaxies · Physics 2015-06-22 Douglas C. Heggie

The equations of motion for $N$ non-relativistic particles attracting according to Newton's law are shown to correspond to the equations for null geodesics in a $(3N+2)$-dimensional Lorentzian, Ricci-flat, spacetime with a covariantly…

High Energy Physics - Theory · Physics 2009-07-09 C. Duval , G. Gibbons , P. Horvathy

The paper combines theoretical and applied ideas which have been previously considered separately into a single set of evolution equations for Numerical Relativity. New numerical ingredients are presented which avoid gauge pathologies and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Arbona , C. Bona , J. Masso , J. Stela

The gauge polyvalence of a new numerical code is tested, both in harmonic-coordinate simulations (gauge-waves testbed) and in singularity-avoiding coordinates (simple Black-Hole simulations, either with or without shift). The code is built…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Daniela Alic , Carles Bona , Carles Bona-Casas

We study the consequences of the $f(R/\Box)$ gravity models for the Solar system and the large scale structure of the universe. The spherically symmetric solutions can be used to obtain bounds on the constant and the linear parts of the…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Tomi S. Koivisto

The LCDM model is the most commonly admitted to describe our Universe. In spite of a great success with regard to the large scale structure formation, some problems are still unresolved at galactic scales. Alternative scenarios have to be…

Astrophysics · Physics 2007-09-24 O. Tiret , F. Combes

We present a new chemodynamical code based on the adaptive mesh refinement code RAMSES. The new code uses Eulerian hydrodynamics and N-body dynamics in a cosmological framework to trace the production and advection of several chemical…

Astrophysics of Galaxies · Physics 2012-02-13 C. Gareth Few , Stephanie Courty , Brad K. Gibson