Kerr-Schild ansatz in Lovelock gravity

被引：0
作者：
Benjamin Ett
David Kastor
机构：
[1] University of Massachusetts,Department of Physics
来源：
Journal of High Energy Physics | / 2011卷
关键词：
Classical Theories of Gravity; Black Holes;
D O I：
暂无
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摘要：
The Kerr-Schild ansatz in Einstein gravity leads to a drastic simplification of the vacuum field equations. We show that in Gauss-Bonnet gravity a similar simplification occurs only in the limiting, special case that a single constant curvature vacuum state exists. In D = 5 this coincides with the theory that can be realized, in analogy with Einstein gravity in D = 3, as a Chern-Simons gauge theory. Our results for higher order Lovelock theories are less complete, but lead us to expect a similar conclusion. Namely, the field equations for Kerr-Schild metrics will simplify most drastically in theories having a unique, degenerate constant curvature vacuum.
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