Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniformly rotating neutron stars   In this chapter we review the recent results on the equilibrium
configurations of static and uniformly rotating neutron stars within the Hartle
formalism. We start from the Einstein-Maxwell-Thomas-Fermi equations formulated
and extended by Belvedere et al. (2012, 2014). We demonstrate how to conduct
numerical integration of these equations for different central densities ${\it
\rho}_c$ and angular velocities $\Omega$ and compute the static $M^{stat}$ and
rotating $M^{rot}$ masses, polar $R_p$ and equatorial $R_{\rm eq}$ radii,
eccentricity $\epsilon$, moment of inertia $I$, angular momentum $J$, as well
as the quadrupole moment $Q$ of the rotating configurations. In order to
fulfill the stability criteria of rotating neutron stars we take into
considerations the Keplerian mass-shedding limit and the axisymmetric secular
instability. Furthermore, we construct the novel mass-radius relations,
calculate the maximum mass and minimum rotation periods (maximum frequencies)
of neutron stars. Eventually, we compare and contrast our results for the
globally and locally neutron star models.

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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th