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The Vainshtein mechanism is known as an efficient way of screening the fifth force around a matter source in modified gravity. This has been verified mainly in highly symmetric matter configurations. To study how the Vainshtein mechanism…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Hiromu Ogawa , Takashi Hiramatsu , Tsutomu Kobayashi

We offer predictions of symmetron modified gravity in the neighborhood of realistic dark matter halos. The predictions for the fifth force are obtained by solving the nonlinear symmetron equation of motion in the spherical NFW…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Joseph Clampitt , Bhuvnesh Jain , Justin Khoury

We present a new time-stepping criterion for N-body simulations that is based on the true dynamical time of a particle. This allows us to follow the orbits of particles correctly in all environments since it has better adaptivity than…

Astrophysics · Physics 2009-10-12 Marcel Zemp , Joachim Stadel , Ben Moore , C. Marcella Carollo

Future large-scale structure surveys will measure three-point statistics with high statistical significance. This will offer significant improvements on our understanding of gravity, provided we can model these statistics accurately. We…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-04 Benjamin Bose , Joyce Byun , Fabien Lacasa , Azadeh Moradinezhad Dizgah , Lucas Lombriser

We present MG-GLAM, a code developed for the very fast production of full $N$-body cosmological simulations in modified gravity (MG) models. We describe the implementation, numerical tests and first results of a large suite of cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-13 Cheng-Zong Ruan , César Hernández-Aguayo , Baojiu Li , Christian Arnold , Carlton M. Baugh , Anatoly Klypin , Francisco Prada

This paper develops a renormalized perturbation theory framework for nonlinear structure formation in a broad class of modified gravity models that exhibit Vainshtein screening, with a focus on a viable subclass of Horndeski theories. We…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Luca Amendola , Carla Bernal , Radouane Gannouji

In the DGP model, the ``self-accelerating'' solution is plagued by a ghost instability, which makes the solution untenable. This fact as well as all interesting departures from GR are fully captured by a four-dimensional effective…

High Energy Physics - Theory · Physics 2011-03-02 Alberto Nicolis , Riccardo Rattazzi , Enrico Trincherini

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

Direct detection of dark energy or modified gravity may finally be within reach due to ultrasensitive instrumentation such as atom interferometry capable of detecting incredibly small scale accelerations. Forecasts, constraints and…

Computational Physics · Physics 2020-07-13 Nicholas C. White , Sandra M. Troian , Jeffrey B. Jewell , Curt J. Cutler , Sheng-wey Chiow , Nan Yu

One of the most pressing questions in modified gravity is how deviations from general relativity can manifest in upcoming galaxy surveys. This is especially relevant for theories exhibiting Vainshtein screening, where such deviations are…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-10 Clare Burrage , Johannes Dombrowski , Daniela Saadeh

Gaussian processes are ubiquitous as the primary tool for modeling spatial data. However, the Gaussian process is limited by its $\mathcal{O}(n^3)$ cost, making direct parameter fitting algorithms infeasible for the scale of modern data…

Methodology · Statistics 2025-12-25 Ashlynn Crisp , Daniel Taylor-Rodriguez , Andrew O. Finley

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 develop and test an algorithm to rescale a simulated dark-matter particle distribution or halo catalogue from a standard gravity model to that of a modified gravity model. This method is based on that of Angulo & White but with some…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-18 Alexander Mead , John Peacock , Lucas Lombriser , Baojiu Li

We provide a definition and explicit expressions for $n$-body Gaussian Process (GP) kernels which can learn any interatomic interaction occurring in a physical system, up to $n$-body contributions, for any value of $n$. The series is…

Computational Physics · Physics 2018-05-30 Aldo Glielmo , Claudio Zeni , Alessandro De Vita

Modelling gravity is a fundamental problem that must be tackled in N-body simulations of stellar systems, and satisfactory solutions require a deep understanding of the dynamical effects of softening. In a previous paper (Romeo 1997), we…

Astrophysics · Physics 2007-05-23 Alessandro B. Romeo

Approximate N-body methods, such as FastPM and COLA, have been successful in modelling halo and galaxy clustering statistics, but their low resolution on small scales is a limitation for applications that require high precision. Full N-body…

Instrumentation and Methods for Astrophysics · Physics 2024-06-18 Yiheng Wu , Hong Guo , Volker Springel

3D Gaussian splatting (3DGS) has become a vital tool for learning a radiance field from multiple posed images. Although 3DGS shows great advantages over NeRF in terms of rendering quality and efficiency, it remains a research challenge to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Jiaqi Liu , Zhizhong Han

We present the first application of the Wavelet Scattering Transform (WST) in order to constrain the nature of gravity using the three-dimensional (3D) large-scale structure of the universe. Utilizing the Quijote-MG N-body simulations, we…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-12 Georgios Valogiannis , Francisco Villaescusa-Navarro , Marco Baldi

Testing gravity and the concordance model of cosmology, $\Lambda$CDM, at large scales is a key goal of this decade's largest galaxy surveys. Here we present a comparative study of dark matter power spectrum predictions from different…

Dark matter in the universe evolves through gravity to form a complex network of halos, filaments, sheets and voids, that is known as the cosmic web. Computational models of the underlying physical processes, such as classical N-body…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-30 Andres C. Rodriguez , Tomasz Kacprzak , Aurelien Lucchi , Adam Amara , Raphael Sgier , Janis Fluri , Thomas Hofmann , Alexandre Réfrégier