Extreme Bowen–York initial data

2008/06/13 by Sergio Dain, María E Gabach Clément, María E. Gabach Clément
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1088/0264-9381/26/3/035020

published as Class.Quant.Grav.26:035020,2009 · 21 pages

arxiv created 2008/06/13 · openalex publication_date 2009/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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–Nordström 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.

Citations

• Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
• Asymptotically Flat Initial Data¶with Prescribed Regularity at Infinity
• The mass of an asymptotically flat manifold
• Supermassive Recoil Velocities for Binary Black-Hole Mergers with Antialigned Spins
• The Constraint Equations
• Classical Electrodynamics