Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Remark on the Geometry of Uniformly Rotating Stars   In this paper we classify the free boundary associated to equilibrium
configurations of compressible, self-gravitating fluid masses, rotating with
constant angular velocity. The equilibrium configurations are all critical
points of an associated functional and not necessarily minimizers. Our methods
also apply to alternative models in the literature where the angular momentum
per unit mass is prescribed. The typical physical model our results apply to is
that of uniformly rotating white dwarf stars.

31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs