Geodesics and Isometry Group of Defrise Universe as a Lie Group with Left-Invariant Lorentz Metric Full article
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Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962 |
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| Output data | Year: 2025, Volume: 46, Number: 3, Pages: 1001--1014 Pages count : 14 DOI: 10.1134/S1995080225605120 | ||||
| Tags | Defrise Universe, geodesic, isometry Lie group, Killing vector field, left-invariant (sub-)Lorentz metric, Lie algebra, Lie group | ||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0006 |
| 2 | Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». | FWNF-2022-0003 |
Abstract:
The authors investigate a model of the Defrise Universe DU as a Lie group G_4 with a left-invariant Lorentz metric and find by two methods its geodesics (they are not closed and may be incomplete), all Killing vector fields, structures of the Lie algebra of G_4, the isometry Lie group G_6 of the Defrise Universe DU, and its subgroups. We also describe all possible types of induced sub-Lorentz structures on DU up to isomorphisms of the Lie group G_4.
Cite:
Berestovskii V.N.
, Zubareva I.A.
Geodesics and Isometry Group of Defrise Universe as a Lie Group with Left-Invariant Lorentz Metric
Lobachevskii Journal of Mathematics. 2025. V.46. N3. P.1001--1014. DOI: 10.1134/S1995080225605120
Geodesics and Isometry Group of Defrise Universe as a Lie Group with Left-Invariant Lorentz Metric
Lobachevskii Journal of Mathematics. 2025. V.46. N3. P.1001--1014. DOI: 10.1134/S1995080225605120
Dates:
| Submitted: | Oct 30, 2024 |
| Accepted: | Dec 28, 2024 |
| Published print: | May 21, 2025 |
| Published online: | May 21, 2025 |
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