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Beyond the Bowen-York extrinsic curvature for spinning black holes
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It is well-known that Bowen-York initial data contain spurious radiation. Although this ``junk'' radiation has been seen to be small for non-spinning black-hole binaries in circular orbit, its magnitude increases when the black holes are given spin. It is possible to reduce the spurious radiation by applying the puncture approach to multiple Kerr black holes, as we demonstrate for examples of head-on collisions of equal-mass black-hole binaries.
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On the absence of conformally flat slicings of the Kerr spacetime
Kerr spacetime admits no conformally flat slicing of the form t = F(r, θ, a), with the obstruction appearing at fifth order in spin, and Kerr-de Sitter admits no analytic spatially flat slicing beyond linear order.
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