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An extended Kerr–Schild ansatz
Vacuum Einstein's equations the zero vector vacuum field equation of electric expansion
2014/12/18
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....
Uniqueness of smooth stationary black holes in vacuum: small perturbations of Kerr
Kerr smooth stationary black holes in vacuum
2014/4/3
In collaboration with S. Alexakis and A. Ionescu we show that smooth, asymptotically flat, non-degenerate solutions of the Einstein vacuum equations, which are suuficiently close to a Kerr solution, i...