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@article{50380, author = {Pugliese, Daniela and Zanotti, Olindo}, article_location = {US - Spojené státy americké}, article_number = {4}, doi = {http://dx.doi.org/10.1007/s10714-015-1886-4}, keywords = {general relativity; magnetohydrodynamics; black holes; Von Zeipel theorem}, language = {eng}, issn = {0001-7701}, journal = {General Relativity and Gravitation}, title = {Von Zeipel's theorem for a magnetized circular flow around a compact object}, url = {https://link.springer.com/article/10.1007/s10714-015-1886-4}, volume = {47}, year = {2015} }
TY - JOUR ID - 50380 AU - Pugliese, Daniela - Zanotti, Olindo PY - 2015 TI - Von Zeipel's theorem for a magnetized circular flow around a compact object JF - General Relativity and Gravitation VL - 47 IS - 4 SP - "44-1"-"44-14" EP - "44-1"-"44-14" SN - 00017701 KW - general relativity KW - magnetohydrodynamics KW - black holes KW - Von Zeipel theorem UR - https://link.springer.com/article/10.1007/s10714-015-1886-4 N2 - We analyze a class of physical properties, forming the content of the so-called von Zeipel theorem, which characterizes stationary, axisymmetric, non-selfgravitating perfect fluids in circular motion in the gravitational field of a compact object. We consider the extension of the theorem to the magnetohydrodynamic regime, under the assumption of an infinitely conductive fluid, both in the Newtonian and in the relativistic framework. When the magnetic field is toroidal, the conditions required by the theorem are equivalent to integrability conditions, as it is the case for purely hydrodynamic flows. When themagnetic field is poloidal, the analysis for the relativistic regime is substantially different with respect to the Newtonian case and additional constraints, in the form of PDEs, must be imposed on the magnetic field in order to guarantee that the angular velocity Omega depends only on the specific angular momentum l. In order to deduce such physical constraints, it is crucial to ad ER -
PUGLIESE, Daniela a Olindo ZANOTTI. Von Zeipel's theorem for a magnetized circular flow around a compact object. \textit{General Relativity and Gravitation}. US - Spojené státy americké, 2015, roč.~47, č.~4, s.~''44-1''-''44-14'', 14 s. ISSN~0001-7701. Dostupné z: https://dx.doi.org/10.1007/s10714-015-1886-4.
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