Evolution of a periodic eight-black-hole lattice in numerical relativity

TL;DR

This paper presents the first fully relativistic numerical simulation of an eight-black-hole lattice with S3 topology, advancing understanding of such models in cosmology.

Contribution

It provides the first complete 3D numerical evolution of an eight-black-hole lattice, addressing a longstanding challenge in relativistic cosmological modeling.

Findings

Successful numerical evolution of an eight-black-hole lattice

Insights into the dynamics of black-hole lattice systems

Potential implications for cosmological backreaction studies

Abstract

The idea of black-hole lattices as models for the large-scale structure of the universe has been under scrutiny for several decades, and some of the properties of these systems have been elucidated recently in the context of the problem of cosmological backreaction. The complete, three-dimensional and fully relativistic evolution of these system has, however, never been tackled. We explicitly construct the first of these solutions by numerically integrating Einstein's equation in the case of an eight-black-hole lattice with the topology of S3.