Initial data for a head on collision of two Kerr-like black holed with close 
limit

Dain, Sergio

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Initial data for a head on collision of two Kerr-like black holed with close limit

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Dain, Sergio
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Dain, S. (2001). Initial data for a head on collision of two Kerr-like black holed with close limit. Physical Review D, 64, 124002.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-563C-5

Abstract

We prove the existence of a family of initial data for the Einstein vacuum equation which can be interpreted as the data for two Kerr-like black holes in arbitrary location and with spin in arbitrary direction. This family of initial data has the following properties: (i) When the mass parameter of one of them is zero or when the distance between them goes to infinity, it reduces exactly to the Kerr initial data. (ii) When the distance between them is zero, we obtain exactly a Kerr initial data with mass and angular momentum equal to the sum of the mass and angular momentum parameters of each of them. The initial data depends smoothly on the distance, the mass and the angular momentum parameters.