Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Slim Accretion Disk Solutions Revisited   We show that there exists a maximal possible accretion rate, beyond which
global slim disk solutions cannot be constructed because in the vertical
direction the gravitational force would be unable to balance the pressure force
to gather the accreted matter. The principle for this restriction is the same
as that for the Eddington luminosity and the corresponding critical accretion
rate, which were derived for spherical accretion by considering the same force
balance in the radial direction. If the assumption of hydrostatic equilibrium
is waived and vertical motion is included, this restriction may become even
more serious as the value of the maximal possible accretion rate becomes
smaller. Previous understanding in the literature that global slim disk
solutions could stand for any large accretion rates is due to the
overestimation of the vertical gravitational force by using an approximate
potential. For accretion flows with large accretion rates at large radii,
outflows seem unavoidable in order for the accretion flow to reduce the
accretion rate and follow a global solution till the central black hole.

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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph