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キーワード:
General Relativity and Quantum Cosmology, gr-qc
要旨:
Novel applications of Numerical Relativity demand for more flexible
algorithms and tools. In this paper, I develop and test a multigrid solver,
based on the infrastructure provided by the Einstein Toolkit, for elliptic
partial differential equations on spaces with periodic boundary conditions.
This type of boundary often characterizes the numerical representation of
cosmological models, where space is assumed to be made up of identical copies
of a single fiducial domain, so that only a finite volume (with periodic
boundary conditions at its edges) needs to be simulated. After a few tests and
comparisons with existing codes, I use the solver to generate initial data for
an infinite, periodic, cubic black-hole lattice.
