Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics:
  Birkhoff-type results in linearized gravity   We prove Birkhoff-type results showing that $L^2$ solutions of the linearized
Einstein equations around Riemannian Kottler ("Schwarzschild-anti de Sitter")
metrics in arbitrary dimension and horizon topology, which are not controlled
by "master functions" are pure gauge. Together with earlier results this
implies that the $TT$-gauge-fixed linearized Einstein operator for these
metrics is non-degenerate for open ranges of the mass parameter.

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The categories of this paper are: supr-con
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The categories of this paper are: econ
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
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The categories of this paper are: stat
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an