Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cosmic Structure Formation with Topological Defects   Topological defects are ubiquitous in physics. Whenever a symmetry breaking
phase transition occurs, topological defects may form. The best known examples
are vortex lines in type II super conductors or in liquid Helium, and
declination lines in liquid crystals. In an adiabatically expanding universe
which cools down from a very hot initial state, it is quite natural to
postulate that topological defects may have emerged during a phase transition
in the early universe and that they may have played the role of initial
inhomogeneities seeding the formation of cosmic structure. This basic idea goes
back to Kibble (1976). In this report we summarize the progress made in the
investigation of Kibble's idea during the last 25 years. Our understanding of
the formation and evolution of topological defects is reported almost
completely in the beautiful book by Vilenkin & Shellard or the excellent Review
by Hindmarsh & Kibble, and we shall hence be rather short on that topic.
Nevertheless, in order to be self contained, we have included a short chapter
on spontaneous symmetry breaking and defect formation. Our main topic is
however the calculation of structure formation with defects, results which are
not included in the above references.

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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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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: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat