Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vortex-like solutions and internal structures of covariant ideal
  magnetohydrodynamics   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.

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The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
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The categories of this paper are: eess
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
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The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg