Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rotational modes of non-isentropic stars and the gravitational radiation
  driven instability   We investigate the properties of r-mode and inertial mode of slowly rotating,
non-isentropic, Newtonian stars, by taking account of the effects of the
Coriolis force and the centrifugal force. For the non-isentropic models we
consider only two cases, that is, the models with the stable fluid
stratification in the whole interior and the models that are fully convective.
For simplicity we call these two kinds of models "radiative" and "convective"
models in this paper. For both cases, we assume the deviation of the models
from isentropic structure is small. Examining the dissipation timescales due to
the gravitational radiation and several viscous processes for the polytropic
neutron star models, we find that the gravitational radiation driven
instability of the r-modes remains strong even in the non-isentropic models.
Calculating the rotational modes of the radiative models as functions of the
angular rotation frequency $\Omega$, we find that the inertial modes are
strongly modified by the buoyant force at small $\Omega$, where the buoyant
force as a dominant restoring force becomes comparable with or stronger than
the Coriolis force. Because of this property we obtain the mode sequences in
which the inertial modes at large $\Omega$ are identified as g-modes or the
r-modes with l=|m| at small $\Omega$. We also note that as $\Omega$ increases
from $\Omega=0$ the retrograde g-modes become retrograde inertial modes, which
are unstable against the gravitational radiation reaction.

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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga