Small deformations of extreme Kerr black hole initial data

Dain, Sergio; Gabach Clement, Maria E.

doi:10.1088/0264-9381/28/7/075003

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Small deformations of extreme Kerr black hole initial data

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Gabach Clement, Maria E.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Dain, S., & Gabach Clement, M. E. (2011). Small deformations of extreme Kerr black hole initial data. Classical and quantum gravity, 28(7): 075003. doi:10.1088/0264-9381/28/7/075003.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-0889-9

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.