KOVÁŘ, Jiří, Yasufumi KOJIMA, Petr SLANÝ, Zdeněk STUCHLÍK and Vladimír KARAS. Charged fluids encircling compact objects: force representations and conformal geometries. 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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Basic information
Original name Charged fluids encircling compact objects: force representations and conformal geometries
Authors KOVÁŘ, Jiří (203 Czech Republic, belonging to the institution), Yasufumi KOJIMA, Petr SLANÝ (203 Czech Republic, belonging to the institution), Zdeněk STUCHLÍK (203 Czech Republic, belonging to the institution) and Vladimír KARAS (203 Czech Republic).
Edition Classical and Quantum Gravity, 2020, 0264-9381.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher United Kingdom of Great Britain and Northern Ireland
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19630/20:A0000006
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.1088/1361-6382/abbe70
UT WoS 000590715200001
Keywords in English charged fluid toroidal structure; compact object; gravitational field; electromagnetic field; general relativity; force formalism; conformal geometry
Tags , FÚ2020, GA19-03950S, GACR19-03950S, RIV21, RIVOK, UF
Tags International impact, Reviewed
Links GA19-03950S, research and development project.
Changed by Changed by: RNDr. Jan Hladík, Ph.D., učo 25379. Changed: 23/3/2021 18:05.
Abstract
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.
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