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The effects of discreteness arising from the use of the N-body method on the accuracy of simulations of cosmological structure formation are not currently well understood. After a discussion of how the relevant discretisation parameters…

Astrophysics · Physics 2009-11-13 Michael Joyce , Bruno Marcos , Thierry Baertschiger

The present paper outlines theoretical principles of the post-Newtonian mechanics in the expanding universe. It is based upon the gauge-invariant theory of the Lagrangian perturbations of cosmological manifold caused by an isolated…

General Relativity and Quantum Cosmology · Physics 2013-02-27 Sergei Kopeikin , Alexander Petrov

New generation galaxy surveys targeting constraints on local primordial non-Gaussianity (PNG) demand $N$-body simulations that accurately reproduce its effects. In this work, we explore various prescriptions for the initial conditions of…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-14 Adrian G. Adame , Santiago Avila , Violeta Gonzalez-Perez , Oliver Hahn , Gustavo Yepes , Marc Manera

In this review we discuss Cosmological N-Body codes with a special emphasis on Particle Mesh codes. We present the mathematical model for each component of N-Body codes. We compare alternative methods for computing each quantity by…

Astrophysics · Physics 2009-11-10 J. S. Bagla , T. Padmanabhan

We present relativistic $N$-body simulations of a $\Lambda_{\rm s}$CDM - sign-switching cosmological constant (CC) - scenario under general relativity and compare its nonlinear matter power spectrum to $\Lambda$CDM at ${z =…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-13 Özgür Akarsu , Eleonora Di Valentino , Jiří Vyskočil , Ezgi Yılmaz , A. Emrah Yükselci , Alexander Zhuk

The effects of particle discreteness in N-body simulations of Lambda Cold Dark Matter (LambdaCDM) are still an intensively debated issue. In this paper we explore such effects, taking into account the scatter caused by the randomness of the…

Astrophysics · Physics 2009-11-13 Alessandro B. Romeo , Oscar Agertz , Ben Moore , Joachim Stadel

The presence of additional relativistic particles at the time of recombination can be inferred through their contribution to $\Delta N_{\rm eff}$. If these species have a finite but low mass (Light Massive Relics - LiMRs), they act as a hot…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-04 Vikhyat Sharma , Arka Banerjee

We examine the cosmological redshift-space distortion effect on the power spectrum of the objects at high-redshifts, which is an unavoidable observational contamination in general relativistic cosmology. In particular, we consider the…

Astrophysics · Physics 2009-10-31 Hiromitsu Magira , Y. P. Jing , Yasushi Suto

Analysis of self-similarity in scale-free $N$-body simulations reveals the spatial and temporal scales for which statistics measured in cosmological simulations are converged to the physical continuum limit. We examine how the range of…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-28 Lehman H. Garrison , Michael Joyce , Daniel J. Eisenstein

A method for ray-tracing through n-body simulations has been recently proposed. It is based on a periodic universe covered by simulation boxes. Photons move along appropriate directions to avoid periodicity effects. Here, an improved…

Astrophysics · Physics 2009-11-11 L. Antón , P. Cerdá-Durán , V. Quilis , D. Sáez

Currently, most of the numerical simulations of structure formation use Newtonian gravity. When modelling pressureless dark matter, or `dust', this approach gives the correct results for scales much smaller than the cosmological horizon,…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-09 Adam J. Christopherson , J. C. Hidalgo , Karim A. Malik

Knowledge of the primordial matter density field from which the large-scale structure of the Universe emerged over cosmic time is of fundamental importance for cosmology. However, reconstructing these cosmological initial conditions from…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-06 Oleg Savchenko , Guillermo Franco Abellán , Florian List , Noemi Anau Montel , Christoph Weniger

Neutrino mass constraints are a primary focus of current and future large-scale structure (LSS) surveys. Non-linear LSS models rely heavily on cosmological simulations -- the impact of massive neutrinos should therefore be included in these…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-11 James M. Sullivan , J. D. Emberson , Salman Habib , Nicholas Frontiere

In order to keep pace with the increasing data quality of astronomical surveys the observed source redshift has to be modeled beyond the well-known Doppler contribution. In this letter I want to examine the gauge issue that is often glossed…

General Relativity and Quantum Cosmology · Physics 2018-02-01 Julian Adamek

We present a novel, fast and precise method for including the effect of light neutrinos in cosmological N-body simulations. The effect of the neutrino component is included by using the linear theory neutrino perturbations in the…

Astrophysics · Physics 2010-04-15 Jacob Brandbyge , Steen Hannestad

We perform for the first time N-body simulations of Interacting Dark Energy assuming non-Gaussian initial conditions, with the aim of investigating possible degeneracies of these two theoretically independent phenomena in different…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-22 M. Hashim , C. Giocoli , M. Baldi , D. Bertacca , R. Maartens

We show how the relativistic matter and velocity power spectra behave in different gauges. We construct a new gauge where both spectra coincide with Newtonian theory on all scales. However, in this gauge there are geometric quantities…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Samuel F. Flender , Dominik J. Schwarz

Reconstructing cosmological initial conditions (ICs) from late-time observations is a difficult task, which relies on the use of computationally expensive simulators alongside sophisticated statistical methods to navigate multi-million…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-22 Oleg Savchenko , Florian List , Guillermo Franco Abellán , Noemi Anau Montel , Christoph Weniger

We implement an adaptation of the COLA approach, a hybrid scheme that combines Lagrangian perturbation theory with an N-body approach, to model non-linear collapse in chameleon and symmetron modified gravity models. Gravitational screening…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-30 Georgios Valogiannis , Rachel Bean

We systematically study the effects of varying the starting redshift z_i for cosmological simulations in the highly non-linear regime. Our primary focus lies with the (individual) properties of dark matter halos -- namely the mass, spin,…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-11 Alexander Knebe , Christian Wagner , Steffen Knollmann , Tobias Diekershoff , Fabian Krause
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