Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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2010-02-23

Physics

High Energy Physics

High Energy Physics - Theory

13 pages; v2-improved result in section 5, smaller changes throughout

Scientific paper

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.

**Ett Benjamin**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

**Kastor David**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

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