Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: AdS instability: resonant system for gravitational perturbations of
  AdS${}_5$ in the cohomogeneity-two biaxial Bianchi IX ansatz   We consider five-dimensional, vacuum Einstein equations with negative
cosmological constant within cohomogenity-two biaxial Bianchi IX ansatz. This
model allows to investigate the stability of AdS without adding any matter to
the energy-momentum tensor, thus analyzing instability of genuine gravtational
degrees of freedom. We derive the resonant system and identify vanishing
secular terms. The results resemble those obtained for Einstein equations
coupled to a spherically-symmetric, massless scalar field, backing the evidence
that the scalar field model captures well the relevant features of AdS
instability problem. We also list recurrence relations for the interaction
coefficients of the resonant system, which might be useful in both numerical
simulations and further analytical studies.

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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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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: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an