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We introduce the N-body simulation technique to follow structure formation in linear and nonlinear regimes for the extended quintessence models (scalar-tensor theories in which the scalar field has a self-interaction potential and behaves…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-04 Baojiu Li , David F. Mota , John D. Barrow

The N-body gauge allows the introduction of relativistic effects in Newtonian cosmological simulations. Here we extend this framework to general Horndeski gravity theories, and investigate the relativistic effects that the scalar field…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-22 Guilherme Brando , Kazuya Koyama , David Wands , Miguel Zumalacárregui , Ignacy Sawicki , Emilio Bellini

In this contribution a broad overview of the methodologies of cosmological N-body simulations and a short introduction explaining the general idea behind such simulations is presented. After explaining how to set up the initial conditions…

Astrophysics · Physics 2009-11-10 Alexander Knebe

Inaccuracies in the initial conditions for cosmological N-body simulations could easily be the largest source of systematic error in predicting the non-linear large-scale structure. From the theory side, initial conditions are usually…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-18 Michaël Michaux , Oliver Hahn , Cornelius Rampf , Raul E. Angulo

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

The cosmic large-scale structure (LSS) provides a unique testing ground for connecting fundamental physics to astronomical observations. Modeling the LSS requires numerical $N$-body simulations or perturbative techniques that both come with…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-20 Florian List , Oliver Hahn , Cornelius Rampf

We have investigated structure formation in the $\gamma$ gravity $f(R)$ model with {\it N}-body simulations. The $\gamma$ gravity model is a proposal which, unlike other viable $f(R)$ models, not only changes the gravitational dynamics, but…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-09 Marcelo Vargas dos Santos , Hans A. Winther , David F. Mota , Ioav Waga

On large-scales, comparable to the horizon, the observable clustering properties of galaxies are affected by various general relativistic effects. To calculate these effects one needs to consistently solve for the metric, densities and…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-21 Nora Elisa Chisari , Matias Zaldarriaga

In setting up initial conditions for ensembles of cosmological N-body simulations there are, fundamentally, two choices: either maximizing the correspondence of the initial density field to the assumed fourier-space clustering or, instead,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Chris Orban

We intend to make sets of cosmological simulations available, with a large number of different output times that may be placed side-by-side to produce a complete history of the universe stretching back to high redshift. Currently there is…

Astrophysics · Physics 2007-05-23 P. A. Thomas , H. M. P. Couchman , F. R. Pearce

Simulations of purely self-gravitating N-body systems are often used in astrophysics and cosmology to study the collisionless limit of such systems. Their results for macroscopic quantities should then converge well for sufficiently large…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-15 David Benhaiem , Michael Joyce , Francesco Sylos Labini , Tirawut Worrakitpoonpon

We present a method to introduce relativistic corrections including linear dark energy perturbations in Horndeski theory into Newtonian simulations based on the N-body gauge approach. We assume that standard matter species (cold dark…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-20 Guilherme Brando , Kazuya Koyama , David Wands

Numerical simulations are a versatile tool providing insight into the complicated process of structure formation in cosmology. This process is mainly governed by gravity, which is the dominant force on large scales. To date, a century after…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-04 Julian Adamek , David Daverio , Ruth Durrer , Martin Kunz

We discuss the relation between the output of Newtonian N-body simulations on scales that approach or exceed the particle horizon to the description of General Relativity. At leading order, the Zeldovich approximation is correct on large…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-27 Cornelius Rampf , Gerasimos Rigopoulos , Wessel Valkenburg

We examine the deviation of Cold Dark Matter particle trajectories from the Newtonian result as the size of the region under study becomes comparable to or exceeds the particle horizon. To first order in the gravitational potential, the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-26 Gerasimos Rigopoulos , Wessel Valkenburg

We present the results of a set of cosmological N-body simulations with standard $\Lambda$CDM cosmology but characterized by a scale-dependent primordial non-Gaussianity of the local type featuring a power-law dependence of the $f_{\rm…

We study the initial conditions for cosmological $N$-body simulations for precision cosmology. In general, Zel'dovich approximation has been applied for the initial conditions of $N$-body simulations for a long time. These initial…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Takayuki Tatekawa

The goal of the present paper is to set initial conditions for structure formation at non-linear order, consistent with general relativity, while also allowing for primordial non-Gaussianity. We use the non-linear continuity and Raychauduri…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Marco Bruni , Juan Carlos Hidalgo , Nikolai Meures , David Wands

We describe cosmological simulation techniques and their application to studies of cosmic structure formation, with particular attention to recent hydrodynamic simulations of structure in the high redshift universe. Collisionless N-body…

Astrophysics · Physics 2008-02-03 David H. Weinberg , Neal Katz , Lars Hernquist

We present a series of cosmological N-body simulations which make use of the hydrodynamic approach to the evolution of structures (Dominguez 2000). This approach addresses explicitly the existence of a finite spatial resolution and the…

Astrophysics · Physics 2009-11-11 Alexander Knebe , Alvaro Dominguez , Rosa Dominguez-Tenreiro