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キーワード:
General Relativity and Quantum Cosmology, gr-qc
要旨:
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. We highlight, however, a number
of important departures from the Friedmann-Lemaitre-Robertson-Walker class.
