Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal relations for differentially rotating relativistic stars at
  the threshold to collapse   A binary neutron star merger produces a rapidly and differentially rotating
compact remnant whose lifespan heavily affects the electromagnetic and
gravitational emissions. Its stability depends on both the equation of state
(EOS) and the rotation law and it is usually investigated through numerical
simulations. Nevertheless, by means of a sufficient criterion for secular
instability, equilibrium sequences can be used as a computationally inexpensive
way to estimate the onset of dynamical instability, which, in general, is close
to the secular one. This method works well for uniform rotation and relies on
the location of turning points: stellar models that are stationary points in a
sequence of equilibrium solutions with constant rest mass or angular momentum.
Here, we investigate differentially rotating models (using a large number of
equations of state and different rotation laws) and find that several universal
relations between properly scaled gravitational mass, rest mass and angular
momentum of the turning-point models that are valid for uniform rotation, are
insensitive to the degree of differential rotation, to high accuracy.

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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
1
The categories of this paper are: cs