Lie sphere geometry in lattice cosmology

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Fennen, M.; Giulini, D.: Lie sphere geometry in lattice cosmology. In: Classical and Quantum Gravity 37 (2020), Nr. 6, 065007. DOI: https://doi.org/10.1088/1361-6382/ab6a20

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Abstract: 
In this paper we propose to use Lie sphere geometry as a new tool to systematically construct time-symmetric initial data for a wide variety of generalised black-hole configurations in lattice cosmology. These configurations are iteratively constructed analytically and may have any degree of geometric irregularity. We show that for negligible amounts of dust these solutions are similar to the swiss-cheese models at the moment of maximal expansion. As Lie sphere geometry has so far not received much attention in cosmology, we will devote a large part of this paper to explain its geometric background in a language familiar to general relativists. © 2020 IOP Publishing Ltd.
License of this version: CC BY 3.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2020
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 42 50.60%
2 image of flag of United States United States 18 21.69%
3 image of flag of China China 7 8.43%
4 image of flag of Iran, Islamic Republic of Iran, Islamic Republic of 5 6.02%
5 image of flag of Poland Poland 4 4.82%
6 image of flag of Russian Federation Russian Federation 2 2.41%
7 image of flag of Ukraine Ukraine 1 1.20%
8 image of flag of Taiwan Taiwan 1 1.20%
9 image of flag of Czech Republic Czech Republic 1 1.20%
10 image of flag of Switzerland Switzerland 1 1.20%
    other countries 1 1.20%

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