Backreaction in Numerical Relativity: Averaging on Newtonian gauge-like hypersurfaces in Einstein Toolkit cosmological simulations

A Oestreicher, SM Koksbang - arXiv preprint arXiv:2408.03049, 2024 - arxiv.org
We introduce a spatial averaging scheme and use it to study the evolution of spatial
averages in large-scale simulations of cosmological structure formation performed with the …

First investigation of void statistics in numerical relativity simulations

MJ Williams, HJ Macpherson, DL Wiltshire… - arXiv preprint arXiv …, 2024 - arxiv.org
We apply and extend standard tools for void statistics to cosmological simulations that solve
Einstein's equations with numerical relativity (NR). We obtain a simulated void catalogue …

Cosmology using numerical relativity

JC Aurrekoetxea, K Clough, EA Lim - arXiv preprint arXiv:2409.01939, 2024 - arxiv.org
This review is an up-to-date account of the use of numerical relativity to study dynamical,
strong-gravity environments in a cosmological context. First, we provide a gentle introduction …

A novel approach to cosmological non-linearities as an effective fluid

L Giani, R Von Marttens, R Camilleri - arXiv preprint arXiv:2410.15295, 2024 - arxiv.org
We propose a two parameters extension of the flat $\Lambda $ CDM model to capture the
impact of matter inhomogeneities on the background evolution of the Universe. Non …

Stability analysis and improvement of the covariant BSSN formulation against the FLRW spacetime background

H Hoshino, T Tsuchiya, G Yoneda - arXiv preprint arXiv:2407.14305, 2024 - arxiv.org
In this study, we investigate the numerical stability of the covariant Baumgarte--Shapiro--
Shibata--Nakamura (cBSSN) formulation against the Friedmann--Lema\^ itre--Robertson …

[PDF][PDF] Cosmological simulations of large-scale structures in numerical relativity

RL Munoz - 2023 - inspirehep.net
In the quest for relativistic effects in large-scale structures, we use numerical relativity
simulations to describe the spacetime evolution during nonlinear structure formation. We …