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@article{49062, author = {Kovář, Jiří and Kojima, Yasufumi and Slaný, Petr and Stuchlík, Zdeněk and Karas, Vladimír}, article_number = {24}, doi = {http://dx.doi.org/10.1088/1361-6382/abbe70}, keywords = {charged fluid toroidal structure; compact object; gravitational field; electromagnetic field; general relativity; force formalism; conformal geometry}, language = {eng}, issn = {0264-9381}, journal = {Classical and Quantum Gravity}, title = {Charged fluids encircling compact objects: force representations and conformal geometries}, url = {https://iopscience.iop.org/article/10.1088/1361-6382/abbe70}, volume = {37}, year = {2020} }
TY - JOUR ID - 49062 AU - Kovář, Jiří - Kojima, Yasufumi - Slaný, Petr - Stuchlík, Zdeněk - Karas, Vladimír PY - 2020 TI - Charged fluids encircling compact objects: force representations and conformal geometries JF - Classical and Quantum Gravity VL - 37 IS - 24 SP - "245007-1"-"245007-21" EP - "245007-1"-"245007-21" SN - 02649381 KW - charged fluid toroidal structure KW - compact object KW - gravitational field KW - electromagnetic field KW - general relativity KW - force formalism KW - conformal geometry UR - https://iopscience.iop.org/article/10.1088/1361-6382/abbe70 N2 - Charged fluids rotating around compact objects can form unique equilibrium structures when ambient large-scale electromagnetic fields combine with strong gravity. Equatorial as well as off-equatorial toroidal structures are among such figures of equilibrium with a direct relevance for astrophysics. To investigate their geometrical shapes and physical properties in the near-horizon regime, where effects of general relativity play a significant role, we commonly employ a scheme based on the energy-momentum conservation written in a standard representation. Here, we develop its interesting alternatives in terms of two covariant force representations, both based on a hypersurface projection of the energy-momentum conservation. In a proper hypersurface, space-like forces can be defined, following from a decomposition of the fluid four-acceleration. Each of the representations provides us with an insight into properties of the fluid flow, being well reflected in related conformal hypersurface geometries; we find behaviour of centrifugal forces directly related to geodesics of these conformal hypersurfaces and their embedding diagrams. We also reveal correspondence between the charged fluid flow world-lines from an ordinary spacetime, and world-lines determined by a charged test particles equation of motion in a conformal spacetime. ER -
KOVÁŘ, Jiří, Yasufumi KOJIMA, Petr SLANÝ, Zdeněk STUCHLÍK and Vladimír KARAS. Charged fluids encircling compact objects: force representations and conformal geometries. \textit{Classical and Quantum Gravity}. 2020, vol.~37, No~24, p.~''245007-1''-''245007-21'', 21 pp. ISSN~0264-9381. Available from: https://dx.doi.org/10.1088/1361-6382/abbe70.
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