Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Extended Kerr-Schild Ansatz   We present an analysis of the vacuum Einstein equations for a recently
proposed extension of the Kerr-Schild ansatz that includes a spacelike vector
field as well as the usual Kerr-Schild null vector. We show that many, although
not all, of the simplifications that occur in the Kerr-Schild case continue to
hold for the extended ansatz. In particular, we find a simple set of sufficient
conditions on the vectors such that the vacuum field equations truncate beyond
quadratic order in an expansion around a general vacuum background solution. We
extend our analysis to the electrovac case with a related ansatz for the gauge
field.

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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: stat