J 2020

Charged fluids encircling compact objects: force representations and conformal geometries

KOVÁŘ, Jiří, Yasufumi KOJIMA, Petr SLANÝ, Zdeněk STUCHLÍK, Vladimír KARAS et. al.

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

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10308 Astronomy

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

RIV identification code

RIV/47813059:19630/20:A0000006

Organization unit

Institute of physics in Opava

UT WoS

000590715200001

Keywords in English

charged fluid toroidal structure; compact object; gravitational field; electromagnetic field; general relativity; force formalism; conformal geometry

Tags

International impact, Reviewed

Links

GA19-03950S, research and development project.
Změněno: 23/3/2021 18:05, RNDr. Jan Hladík, Ph.D.

Abstract

V originále

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.