Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Stability of Relativistic Neutron Stars in Binary Orbit   We analyze the stability of relativistic, quasi-equilibrium binary neutron
stars in synchronous circular orbit. We explore stability against radial
collapse to black holes prior to merger, and against orbital plunge. We apply
theorems based on turning points along uniformly rotating sequences of constant
angular momentum and rest mass to locate the onset of secular instabilities. We
find that inspiraling binary neutron stars are stable against radial collapse
to black holes all the way down to the innermost stable circular orbit.

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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs