Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantization of linearized gravity by Wick rotation in Gaussian time   We consider the problem of quantizing linearized Einstein equations. We
provide a rigorous construction applicable to a large class of Einstein
metrics. More precisely, we prove the existence of Hadamard states in the
harmonic gauge on analytic backgrounds of bounded geometry. This includes
examples such as Minkowski, de Sitter, Kerr-Kruskal and Schwarzschild-de Sitter
spacetimes. The states are constructed from Calder\'on projectors for an
elliptic boundary problem obtained by Wick rotation near a Cauchy surface. The
key ingredients of the proof are gauge transformations in the Wick-rotated
setting and various techniques from elliptic theory and microlocal analysis.

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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci