Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anti-de Sitter geon families   A detailed perturbative construction of globally regular, asymptotically
anti-de Sitter (AdS) time-periodic solutions of Einstein's equations with a
negative cosmological constant (AdS geons) is presented. Starting with the most
general superposition of the $l=2$ even parity (scalar) eigenmodes of AdS at
linear order, it is shown that at the fifth order in perturbation theory one
obtains five one-parameter geon families, two of which have a helical Killing
vector, one with axial symmetry, and two others without continuous symmetries.
The details and some subtle aspects of the perturbative expansions are also
presented.

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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: math
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: patt-sol