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Journal Article

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

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons53828

Bentivegna,  Eloisa
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons20690

Korzynski,  Mikolaj
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1306.4055.pdf
(Preprint), 5MB

CQG_30_23_235008.pdf
(Any fulltext), 2MB

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Citation

Bentivegna, E., & Korzynski, M. (2013). Evolution of a family of expanding cubic black-hole lattices in numerical relativity. Classical and quantum gravity, 30(23): 235008. doi:10.1088/0264-9381/30/23/235008.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-B40B-0
Abstract
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.