Extra-Large Remnant Recoil Velocities and Spins from Near-Extremal-Bowen-York-Spin Black-Hole Binaries

S. DAIN; C. O. LOUSTO; Y. ZLOCHOWER

PHYSICAL REVIEW D - PARTICLE AND FILDS

American Physical Society

Año: 2008 vol. 78 p. 24039 - 24039

0556-2821

We evolve equal-mass, equal-spin black-hole binaries with  specificspins of $a/m_{H} sim 0.925$, the highest spins simulated thus far and nearly the largest possible for Bowen-York black holes,  in a set of configurations with the spins counter-aligned and pointing in the orbital plane, which  maximizes the recoil velocities of the merger remnant, as well as a configuration where the two spins point in the same direction as theorbital angular momentum, which maximizes the orbital hang-up effectand remnant spin.  The coordinate radii of the individual apparenthorizons in these cases are very small and the simulations  requirevery high central resolutions ($hsim M/320$). We find that thesehighly spinning holes reach a maximum recoil velocity of $sim 3300KMS$ (the largest simulated so far) and, for the hangupconfiguration, a remnant spin of $a/m_{H} sim 0.922$.  These results are consistentwith our previous predictions for the maximum recoil velocity of$sim4000 KMS$ andremnant spin; the latter reinforcing the prediction that cosmiccensorship is not violated by merging highly-spinning black-holebinaries. We also numerically solve the initial data for, and evolve, asingle maximal-Bowen-York-spin black hole, and confirm that the 3-metric hasan ${cal O}(r^{-2})$ singularity at the puncture, rather than theusual ${cal O}(r^{-4})$ singularity seen for non-maximal spins.