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- Title
Vortex-like solutions and internal structures of covariant ideal magnetohydrodynamics.
- Authors
Florkowski, Wojciech; Kumar, Avdhesh; Ryblewski, Radoslaw
- Abstract
We discuss a manifestly covariant formulation of ideal relativistic magnetohydrodynamics, which has been recently used in astrophysical and heavy-ion contexts, and compare it to other similar frameworks. We show that the covariant equations allow for stationary vortex-like solutions that represent generalizations of the perfect-fluid solutions describing systems in global equilibrium with rotation. Such solutions are further used to demonstrate that inhomogeneous Maxwell equations, implicitly included in the covariant framework, may generate very large electric charge densities. This suggests that solutions of the covariant formulation may violate in some cases the assumptions of standard ideal magnetohydrodynamics. Furthermore, we show that the flow four-vector and conserved currents obtained in the covariant approach are usually not related to each other, which hinders kinetic-theory interpretation of the obtained results.
- Subjects
MAGNETOHYDRODYNAMICS; ASTROPHYSICS; MAXWELL equations; ELECTRIC charge; FOUR vectors (Relativity)
- Publication
European Physical Journal A -- Hadrons & Nuclei, 2018, Vol 54, Issue 10, p1
- ISSN
1434-6001
- Publication type
Article
- DOI
10.1140/epja/i2018-12618-y