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
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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