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

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.

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 Creators:
Bentivegna, Eloisa1, Author           
Korzynski, Mikolaj2, Author           
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              
2Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 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.

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 Dates: 2013-06-172013
 Publication Status: Issued
 Pages: 20 pages, 15 figures
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1306.4055
DOI: 10.1088/0264-9381/30/23/235008
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 30 (23) Sequence Number: 235008 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: https://pure.mpg.de/cone/journals/resource/954925513480_1