Kerr-Schild type initial data for black holes with angular momenta

Abstract

Generalizing previous work we propose how to superpose spinning black holes in a Kerr-Schild initial slice. This superposition satisfies several physically meaningful limits, including the close and the far ones. Further we consider the close limit of two black holes with opposite angular momenta and explicitly solve the constraint equations in this case. Evolving the resulting initial data with a linear code, we compute the radiated energy as a function of the masses and the angular momenta of the black holes.

13 pages, 3 figures. Revised version. To appear in Classical and Quantum Gravity

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• Geometry of Generic Isolated Horizons
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• Black hole initial data from a non-conformal decomposition
• Asymptotically hyperboloidal initial data sets from a parabolic-hyperbolic formulation of the Einstein vacuum constraints