Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: r-modes in Relativistic Superfluid Stars   We discuss the modal properties of the $r$-modes of relativistic superfluid
neutron stars, taking account of the entrainment effects between superfluids.
In this paper, the neutron stars are assumed to be filled with neutron and
proton superfluids and the strength of the entrainment effects between the
superfluids are represented by a single parameter $\eta$. We find that the
basic properties of the $r$-modes in a relativistic superfluid star are very
similar to those found for a Newtonian superfluid star. The $r$-modes of a
relativistic superfluid star are split into two families, ordinary fluid-like
$r$-modes ($r^o$-mode) and superfluid-like $r$-modes ($r^s$-mode). The two
superfluids counter-move for the $r^s$-modes, while they co-move for the
$r^o$-modes. For the $r^o$-modes, the quantity $\kappa\equiv\sigma/\Omega+m$ is
almost independent of the entrainment parameter $\eta$, where $m$ and $\sigma$
are the azimuthal wave number and the oscillation frequency observed by an
inertial observer at spatial infinity, respectively. For the $r^s$-modes, on
the other hand, $\kappa$ almost linearly increases with increasing $\eta$. It
is also found that the radiation driven instability due to the $r^s$-modes is
much weaker than that of the $r^o$-modes because the matter current associated
with the axial parity perturbations almost completely vanishes.

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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: math
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg