Timelike and Isotropic Geodesics of the Gödel Universe as a Lie Group with Left-Invariant Lorentz Metric Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2024, Volume: 65, Number: 5, Pages: 1003-1014 Pages count : 12 DOI: 10.1134/s0037446624050033 | ||
| Tags | closed isotropic curve, closed timelike curve, Gödel universe, left-invariant Lorentz metric, Lie group, isotropic geodesic, timelike geodesic | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0006 |
Abstract:
Studying the Gödel universe as a Lie group with left-invariant Lorentz metric and using the methods of geometric theory of the optimal control for the search of geodesics on Lie groups with left-invariant (sub-)Lorentz metrics, we find the expressions for timelike and isotropic geodesics in elementary functions. Also, we pay special attention to proving that the Gödel universe has no closed timelike or isotropic geodesics.
Cite:
Berestovskii V.N.
Timelike and Isotropic Geodesics of the Gödel Universe as a Lie Group with Left-Invariant Lorentz Metric
Siberian Mathematical Journal. 2024. V.65. N5. P.1003-1014. DOI: 10.1134/s0037446624050033 WOS Scopus РИНЦ OpenAlex
Timelike and Isotropic Geodesics of the Gödel Universe as a Lie Group with Left-Invariant Lorentz Metric
Siberian Mathematical Journal. 2024. V.65. N5. P.1003-1014. DOI: 10.1134/s0037446624050033 WOS Scopus РИНЦ OpenAlex
Original:
Берестовский В.Н.
Времениподобные и изотропные геодезические Вселенной Гёделя как группы Ли с левоинвариантной лоренцевой метрикой
Сибирский математический журнал. 2024. Т.65. №5. С.795-807. DOI: 10.33048/smzh.2024.65.503 РИНЦ
Времениподобные и изотропные геодезические Вселенной Гёделя как группы Ли с левоинвариантной лоренцевой метрикой
Сибирский математический журнал. 2024. Т.65. №5. С.795-807. DOI: 10.33048/smzh.2024.65.503 РИНЦ
Dates:
| Submitted: | Mar 16, 2024 |
| Accepted: | Aug 20, 2024 |
| Published print: | Sep 25, 2024 |
| Published online: | Sep 25, 2024 |
Identifiers:
| Web of science: | WOS:001320442300004 |
| Scopus: | 2-s2.0-85204508031 |
| Elibrary: | 69920879 |
| OpenAlex: | W4402841972 |