Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Virial theorem for radiating accretion discs   A continuum version of the virial theorem is derived for a radiating
self-gravitating accretion disc around a compact object. The central object is
point-like, but we can avoid the regularization of its gravitational potential.
This is achieved by applying a modified Pohozaev-Rellich identity to the
gravitational potential of the disk only. The theorem holds for general
stationary configurations, including discontinuous flows (shock waves, contact
discontinuities). It is used to test numerical solutions of a model of
self-gravitating radiative accretion discs. The presented virial theorem should
be useful in the analysis of those (possibly radiating) hydrodynamical systems
in astrophysics where the central mass and the mass of the fluid are comparable
and none of them can be neglected.

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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex