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Journal Article

Kerr Black Holes and Nonlinear Radiation Memory


Winicour,  Jeffrey
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Mädler, T., & Winicour, J. (2019). Kerr Black Holes and Nonlinear Radiation Memory. Classical and quantum gravity, 36 (9): 095009. doi:10.1088/1361-6382/ab1187.

Cite as: http://hdl.handle.net/21.11116/0000-0002-9737-6
The Minkowski background intrinsic to the Kerr-Schild version of the Kerr metric provides a definition of a boosted spinning black hole. There are two Kerr-Schild versions corresponding to ingoing or outgoing principal null directions. The two corresponding Minkowski backgrounds and their associated boosts differ drastically. This has an important implication for the gravitational memory effect. A prior analysis of the ejection of a non-spinning Schwarzschild black hole showed that the memory effect in the nonlinear regime agrees with the linearized result based upon the retarded Green function only if the ejection velocity corresponds to a boost symmetry of the ingoing Minkowski background. A boost with respect to the outgoing Minkowski background is inconsistent with the absence of ingoing radiation from past null infinity. We show that this results extends to the ejection of a Kerr black hole and apply it to set upper and lower bounds for the memory effect resulting from the collision of two spinning black holes.