New Conformally Flat Initial Data for Spinning Black Holes

Details New Conformally Flat Initial Data for Spinning Black Holes New Conformally Flat Initial Data for Spinning Black Holes

Mar 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012aps..apr.q8004z&link_type=abstract

American Physical Society, APS April Meeting 2012, March 31-Apr 3, 2012, abstract #Q8.004

Physics

Scientific paper

We study conformally-flat initial data for an arbitrary number of spinning black holes with exact analytic solutions to the momentum constraints that combine the classical Bowen-York solution with the conformal Kerr extrinsic curvature by taking a weighted average of the Kerr and Bowen-York extrinsic curvatures, and varying the weight. We find that the curvature leading to the largest intrinsic spin, i.e. α=S/M^2ADM, is neither the Kerr nor the Bowen-York extrinsic curvatures, but lies in between the two. We obtain a maximum intrinsic spin of αmax=0.9324. We present formulas for this new extrinsic curvature in a way that is as straightforward to code in a numerical initial data solver as the Bowen-York extrinsic curvature.

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