Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Accretion with back reaction   We calculate analytically a back reaction of the stationary spherical
accretion flow near the event horizon and near the inner Cauchy horizon of the
charged black hole. It is shown that corresponding back-reaction corrections to
the black hole metric depend only on the fluid accretion rate and diverge in
the case of an extremely charged black hole. In result, the test fluid
approximation for stationary accretion is violated for extreme black holes.
This behavior of the accreting black hole is in accordance with the third law
of black hole thermodynamics, forbidding the practical attainability of the
extreme state.

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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
1
The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th