Small deformations of extreme Kerr black hole initial data

Abstract

We prove the existence of a family of initial data for Einstein equations which represent small deformations of the extreme Kerr black hole initial data. The data in this family have the same asymptotic geometry as extreme Kerr. In particular, the deformations preserve the angular momentum and the area of the cylindrical end.

26 pages, 4 figures

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Cited by in corpus (5)

• Trumpet Slices in Kerr Spacetimes
• Horizon area--angular momentum inequality for a class of axially symmetric black holes
• Small deformations of extreme five dimensional Myers-Perry black hole initial data
• Axially symmetric spacetimes: numerical and analytical perspectives
• Deformations of three-dimensional metrics