Extreme Bowen-York initial data

SERGIO ALEJANDRO DAIN; MARIA EUGENIA GABACH CLEMENT

CLASSICAL AND QUANTUM GRAVITY

IOP PUBLISHING LTD

Año: 2009 p. 35020 - 35035

0264-9381

The Bowen-York family of spinning black hole initial data depends essentially on one, positive, free parameter. The extreme limit corre-sponds to making this parameter equal to zero. This choice represents a singular limit for the constraint equations. We prove that in this limit a new solution of the constraint equations is  obtained. These initial data have similar properties to the extreme Kerr and Reissner-Nördstrom black hole initial data. In particular, in this limit one of the asymptotic ends changes from asymptotically flat to cylindrical. The existence proof is constructive, we actually show that a sequence of Bowen-York data converges to the extreme solution.