Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonradial oscillations of slowly and differentially rotating compact
  stars   The equations describing nonradial adiabatic oscillations of differentially
rotating relativistic stars are derived in relativistic slow rotation
approximation. The differentially rotating configuration is described by a
perturbative version of the relativistic j-constant rotation law. Focusing on
the oscillation properties of the stellar fluid, the adiabatic nonradial
perturbations are studied in the Cowling approximation with a system of five
partial differential equations. In these equations, differential rotation
introduces new coupling terms between the perturbative quantites with respect
to the uniformly rotating stars. In particular, we investigate the axisymmetric
and barotropic oscillations and compare their spectral properties with those
obtained in nonlinear hydrodynamical studies. The perturbative description of
the differentially rotating background and the oscillation spectrum agree
within a few percent with those of the nonlinear studies.

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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio