Evolution of a family of expanding cubic black-hole lattices in numerical relativity

Understand

We present the numerical evolution of a family of conformally-flat, infinite, expanding cubic black-hole lattices.

• We solve for the initial data using an initial-data prescription presented recently, along with a new multigrid solver developed for this purpose.
• We then apply the standard tools of numerical relativity to calculate the time development of this initial dataset and derive quantities of cosmological relevance, such as the scaling of proper lengths.
• Similarly to the case of S3 lattices, we find that the length scaling remains close to the analytical solution for Friedmann-Lemaitre-Robertson-Walker cosmologies throughout our simulations, which span a window of about one order of magnitude in the growth of the scale factor.