Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 30, Issue 23, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/30/23/235008
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Funding
- project 'The role of small-scale inhomogeneities in general relativity and cosmology' within the Homing Plus programme of Foundation for Polish Science [HOMING PLUS/2012-5/4]
- European Union from the Regional Development Fund
- Marie Curie International Reintegration Grant [PIRG05-GA-2009-249290]
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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 S-3 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.
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