Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A quantum mechanical derivation of the Schwarzschild radius and its
  quantum correction using a model density distribution: Skin of a black hole   Using a single particle density distribution for a system of self-gravitating
particles which ultimately forms a black hole, we from a condensed matter point
of view derive the Schwarzschild radius and by including the quantum mechanical
exchange energy we find a small correction to the Schwarzschild radius, which
we designate as the skin of the black hole.

5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
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The categories of this paper are: nlin
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ