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Solving Einstein's equations precisely for strong-field gravitational systems is essential to determining the full physics content of gravitational wave detections. Without these solutions it is not possible to infer precise values for…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Robert A. Eisenstein

Large-eddy simulation developments and validations are presented for an improved simulation of turbulent internal flows. Numerical methods are proposed according to two competing criteria: numerical qualities (precision and spectral…

Fluid Dynamics · Physics 2008-01-15 Jérôme Boudet , Joëlle Caro , L. Shao , Emmanuel Lévêque

Taking N-body simulations with volumes and particle densities tuned to match the SDSS DR7 spectroscopic main sample, we assess the ability of current void catalogs (e.g., Sutter et al. 2012b) to distinguish a model of coupled dark…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 P. M. Sutter , Edoardo Carlesi , Benjamin D. Wandelt , Alexander Knebe

Using a density matrix description in space we study the evolution of wavepackets in a fluctuating space-time background. We assume that space-time fluctuations manifest as classical fluctuations of the metric. From the non-relativistic…

General Relativity and Quantum Cosmology · Physics 2010-04-30 E. Göklü , C. Lämmerzahl , A. Camacho , A. Macias

Consider the characteristic initial value problem for the Einstein vacuum equations without any symmetry assumptions. Impose a sequence of data on two intersecting null hypersurfaces, each of which is foliated by spacelike $2$-spheres.…

Analysis of PDEs · Mathematics 2020-09-21 Jonathan Luk , Igor Rodnianski

Cosmic voids are large underdense regions that, together with galaxy clusters, filaments and walls, build up the large-scale structure of the Universe. The void size function provides a powerful probe to test the cosmological framework.…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-08 Sofia Contarini , Tommaso Ronconi , Federico Marulli , Lauro Moscardini , Alfonso Veropalumbo , Marco Baldi

We study the formation and evolution of voids in the dark matter distribution using various simulations of the popular $\Lambda$ Cold Dark Matter cosmogony. We identify voids by requiring them to be regions of space with a mean overdensity…

Astrophysics · Physics 2009-11-10 Joerg M. Colberg , Ravi K. Sheth , Antonaldo Diaferio , Liang Gao , Naoki Yoshida

Cosmological simulations are a powerful tool to advance our understanding of galaxy formation and many simulations model key properties of real galaxies. A question that naturally arises for such simulations in light of high-quality…

Astrophysics of Galaxies · Physics 2025-09-10 Lingyi Zhou , Stefan T. Radev , William H. Oliver , Aura Obreja , Zehao Jin , Tobias Buck

Curved-spacetime geometric-optics maps derived from a deep photometric survey should contain information about the three-dimensional matter distribution and thus about cosmic voids in the survey, despite projection effects. We explore to…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-02 Marius Peper , Boudewijn F. Roukema , Krzysztof Bolejko

We present numerical solutions to Einstein's equations describing large spherical cosmic voids constituted by two components; dark matter and baryons, with a non-vanishing initial relative velocity, in an asymptotically homogeneous…

General Relativity and Quantum Cosmology · Physics 2023-06-06 Fernando A. Pizaña , Juan Carlos Hidalgo , Ismael Delgado Gaspar , Roberto A. Sussman

Redshift space distortions within voids provide a unique method to test for environmental dependence of the growth rate of structures in low density regions, where effects of modified gravity theories might be important. We derive a linear…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-11 Seshadri Nadathur , Will J. Percival

Traditional approaches to the study of the dynamics of spacetime curvature in a very real sense hide the intricacies of the nonlinear regime. Whether it be huge formulae, or mountains of numerical data, standard methods of presentation make…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Kayll Lake

The standard numerical tools for studying non-linear collapse of matter are Newtonian $N$-body simulations. Previous work has shown that these simulations are in accordance with General Relativity (GR) up to first order in perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-07 Christian Fidler , Thomas Tram , Cornelius Rampf , Robert Crittenden , Kazuya Koyama , David Wands

Stochastic hydrodynamics provides a dynamical framework for the evolution of fluctuations in heavy-ion collisions, but poses significant challenges in numerical simulations. We present an algorithm for the simulation of non-relativistic…

Nuclear Theory · Physics 2026-02-03 Mattis Harhoff , Sören Schlichting , Lorenz von Smekal

One of the most striking features in galaxy redshift surveys is the ubiquitous presence of voids. However, voids have not been extensively studied due to observational limitations. Until recently, galaxy redshift surveys included only a few…

Astrophysics · Physics 2007-05-23 Fiona Hoyle , Michael S Vogeley

Voids are dominant features of the cosmic web. We revisit the cosmological information content of voids and connect void properties with the parameters of the background universe. We combine analytical results with a suite of large n-body…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-24 Benjamin C. Bromley , Margaret J. Geller

The application of numerical relativity to cosmological spacetimes is providing new insights into the behavior of Einstein's equations, beyond common approximations. In order for simulations to be performed as accurately and efficiently as…

General Relativity and Quantum Cosmology · Physics 2017-10-25 John T. Giblin , James B. Mertens , Glenn D. Starkman

We present a new statistic-the redshift dispersion-- which may prove useful for comparing next generation redshift surveys (e.g., the Sloan Digital Sky Survey) and cosmological simulations. Our statistic is specifically designed for the…

Astrophysics · Physics 2009-10-28 Jeremy Kepner , Frank Summers , Michael Strauss

The faithful inclusion of the effects of bulk viscosity induced by the presence of chemical reactions is an important issue for simulations of core-collapse supernovae, binary neutron star mergers, and neutron star oscillations, where…

General Relativity and Quantum Cosmology · Physics 2023-05-22 Giovanni Camelio , Lorenzo Gavassino , Marco Antonelli , Sebastiano Bernuzzi , Brynmor Haskell

The Universe is mostly composed of large and relatively empty domains known as cosmic voids, whereas its matter content is predominantly distributed along their boundaries. The remaining material inside them, either dark or luminous matter,…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-02 Nico Hamaus , Alice Pisani , Paul M. Sutter , Guilhem Lavaux , Stéphanie Escoffier , Benjamin D. Wandelt , Jochen Weller