Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collective neutrino oscillations in non-spherical geometry   The rich phenomenology of collective neutrino oscillations has been studied
only in one-dimensional or spherically symmetric systems. Motivated by the
non-spherical example of coalescing neutron stars, presumably the central
engines of short gamma-ray bursts, we use the Liouville equation to formulate
the problem for general source geometries. Assuming the neutrino ensemble
displays self-maintained coherence, the problem once more becomes effectively
one-dimensional along the streamlines of the overall neutrino flux. This
approach for the first time provides a formal definition of the ``single-angle
approximation'' frequently used for supernova neutrinos and allows for a
natural generalization to non-spherical geometries. We study the explicit
example of a disk-shaped source as a proxy for coalescing neutron stars.

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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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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: hep-lat
33
The categories of this paper are: plasm-ph