Details
| Original language | English |
|---|---|
| Article number | 065007 |
| Journal | Classical and quantum gravity |
| Volume | 37 |
| Issue number | 6 |
| Publication status | Published - 18 Feb 2020 |
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.
Keywords
- black holes, inhomogeneous cosmology, Lie sphere geometry
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Classical and quantum gravity, Vol. 37, No. 6, 065007, 18.02.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Lie sphere geometry in lattice cosmology
AU - Fennen, Michael
AU - Giulini, Domenico
PY - 2020/2/18
Y1 - 2020/2/18
N2 - 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.
AB - 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.
KW - black holes
KW - inhomogeneous cosmology
KW - Lie sphere geometry
UR - http://www.scopus.com/inward/record.url?scp=85081389185&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1909.08109
DO - 10.48550/arXiv.1909.08109
M3 - Article
AN - SCOPUS:85081389185
VL - 37
JO - Classical and quantum gravity
JF - Classical and quantum gravity
SN - 0264-9381
IS - 6
M1 - 065007
ER -