70 AIM, UMR 7158, CEA/DRF, CNRS, Université Paris Diderot, Irfu/Service d'Astrophysique,
Centre de Saclay, FR-91191 Gif-sur-Yvette, France

For the last 100 years, General Relativity (GR) has taken over the gravitational theory mantle
held by Newtonian Gravity for the previous 200 years. This article reviews the status of GR in …

GRChombo is an open-source code for performing Numerical Relativity time evolutions,
built on top of the publicly available Chombo software for the solution of PDEs. Whilst …

We present a new N-body code, gevolution, for the evolution of large scale structure in the
Universe. Our code is based on a weak field expansion of General Relativity and calculates …

We demonstrate the flexibility and utility of the Berger–Rigoutsos adaptive mesh refinement
(AMR) algorithm used in the open-source numerical relativity (NR) code GRC hombo for …

We construct a three-dimensional, fully relativistic numerical model of a universe filled with
an inhomogeneous pressureless fluid, starting from initial data that represent a perturbation …

In numerical relativity simulations with non-trivial matter configurations, one must solve the
Hamiltonian and momentum constraints of the ADM formulation for the metric variables in …

The measurements of the Hubble constant reveal a tension between high-redshift (CMB)
and low-redshift (distance ladder) constraints. So far neither observational systematics nor …

We perform large-scale cosmological simulations that solve Einstein's equations directly via
numerical relativity. Starting with initial conditions sampled from the cosmic microwave …

In this review, we investigate the question of backreaction in different approaches to
cosmological perturbation theory, and with a special focus on quantum theoretical aspects …