Rotating Clouds of Charged Vlasov matter in General Relativity
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| Title: | Rotating Clouds of Charged Vlasov matter in General Relativity |
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| Authors: | Thaller, Maximilian, 1990 |
| Source: | Classical and Quantum Gravity. 37(3) |
| Subject Terms: | implicit function theorem, axial symmetry, mathematical general relativity, Einstein–Vlasov–Maxwell system, stationary space-times, elliptic PDE’s |
| Description: | 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. |
| File Description: | electronic |
| Access URL: | https://research.chalmers.se/publication/514887 https://research.chalmers.se/publication/515987 https://research.chalmers.se/publication/515987/file/515987_Fulltext.pdf |
| Database: | SwePub |
Nájsť tento článok vo Web of Science | Abstract: | 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. |
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| ISSN: | 02649381 13616382 |
| DOI: | 10.1088/1361-6382/ab60ba |