Rotating Clouds of Charged Vlasov matter in General Relativity
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| Název: | Rotating Clouds of Charged Vlasov matter in General Relativity |
|---|---|
| Autoři: | Thaller, Maximilian, 1990 |
| Zdroj: | Classical and Quantum Gravity. 37(3) |
| Témata: | implicit function theorem, axial symmetry, mathematical general relativity, Einstein–Vlasov–Maxwell system, stationary space-times, elliptic PDE’s |
| Popis: | The existence of stationary solutions of the Einstein–Vlasov–Maxwell system which are axially symmetric but not spherically symmetric is proven by means of the implicit function theorem on Banach spaces. The proof relies on the methods of Andréasson et al (2014 Commun. Math. Phys. 329, 787–808) where a similar result is obtained for uncharged particles. Among the solutions constructed in this article there are rotating and non-rotating ones. Static solutions exhibit an electric but no magnetic field. In the case of rotating solutions, in addition to the electric field, a purely poloidal magnetic field is induced by the particle current. The existence of toroidal components of the magnetic field turns out to be not possible in this setting. |
| Popis souboru: | electronic |
| Přístupová URL adresa: | https://research.chalmers.se/publication/514887 https://research.chalmers.se/publication/515987 https://research.chalmers.se/publication/515987/file/515987_Fulltext.pdf |
| Databáze: | SwePub |
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| Items | – Name: Title Label: Title Group: Ti Data: Rotating Clouds of Charged Vlasov matter in General Relativity – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Thaller%2C+Maximilian%22">Thaller, Maximilian</searchLink>, 1990 – Name: TitleSource Label: Source Group: Src Data: <i>Classical and Quantum Gravity</i>. 37(3) – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22implicit+function+theorem%22">implicit function theorem</searchLink><br /><searchLink fieldCode="DE" term="%22axial+symmetry%22">axial symmetry</searchLink><br /><searchLink fieldCode="DE" term="%22mathematical+general+relativity%22">mathematical general relativity</searchLink><br /><searchLink fieldCode="DE" term="%22Einstein–Vlasov–Maxwell+system%22">Einstein–Vlasov–Maxwell system</searchLink><br /><searchLink fieldCode="DE" term="%22stationary+space-times%22">stationary space-times</searchLink><br /><searchLink fieldCode="DE" term="%22elliptic+PDE%27s%22">elliptic PDE’s</searchLink> – Name: Abstract Label: Description Group: Ab Data: The existence of stationary solutions of the Einstein–Vlasov–Maxwell system which are axially symmetric but not spherically symmetric is proven by means of the implicit function theorem on Banach spaces. The proof relies on the methods of Andréasson et al (2014 Commun. Math. Phys. 329, 787–808) where a similar result is obtained for uncharged particles. Among the solutions constructed in this article there are rotating and non-rotating ones. Static solutions exhibit an electric but no magnetic field. In the case of rotating solutions, in addition to the electric field, a purely poloidal magnetic field is induced by the particle current. The existence of toroidal components of the magnetic field turns out to be not possible in this setting. – Name: Format Label: File Description Group: SrcInfo Data: electronic – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="https://research.chalmers.se/publication/514887" linkWindow="_blank">https://research.chalmers.se/publication/514887</link><br /><link linkTarget="URL" linkTerm="https://research.chalmers.se/publication/515987" linkWindow="_blank">https://research.chalmers.se/publication/515987</link><br /><link linkTarget="URL" linkTerm="https://research.chalmers.se/publication/515987/file/515987_Fulltext.pdf" linkWindow="_blank">https://research.chalmers.se/publication/515987/file/515987_Fulltext.pdf</link> |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1088/1361-6382/ab60ba Languages: – Text: English Subjects: – SubjectFull: implicit function theorem Type: general – SubjectFull: axial symmetry Type: general – SubjectFull: mathematical general relativity Type: general – SubjectFull: Einstein–Vlasov–Maxwell system Type: general – SubjectFull: stationary space-times Type: general – SubjectFull: elliptic PDE’s Type: general Titles: – TitleFull: Rotating Clouds of Charged Vlasov matter in General Relativity Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Thaller, Maximilian IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2020 Identifiers: – Type: issn-print Value: 02649381 – Type: issn-print Value: 13616382 – Type: issn-locals Value: SWEPUB_FREE – Type: issn-locals Value: CTH_SWEPUB Numbering: – Type: volume Value: 37 – Type: issue Value: 3 Titles: – TitleFull: Classical and Quantum Gravity Type: main |
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