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arXiv · 0806.2180

Extreme Bowen-York initial data

Sergio Dain·María E. Gabach Clément
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Abstract

The Bowen-York family of spinning black hole initial data depends essentially on one, positive, free parameter. The extreme limit corresponds 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-Nordstrom 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.

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Sergio Dain, María E. Gabach Clément. 2008-06-13. Extreme Bowen-York initial data. https://doi.org/10.1088/0264-9381%2F26%2F3%2F035020

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