Von Zeipel's theorem for a magnetized circular flow around a compact object

@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.