Extreme Bowen-York initial data

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.

21 pages

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Cited by in corpus (11)

• Simulations of rotating neutron star collapse with the puncture gauge: end state and gravitational waveforms
• Bowen-York trumpet data and black-hole simulations
• Extreme throat initial data set and horizon area--angular momentum inequality for axisymmetric black holes
• Trumpet-puncture initial data for black holes
• Trumpet Slices in Kerr Spacetimes
• Horizon area--angular momentum inequality for a class of axially symmetric black holes
• Existence and uniqueness of Bowen-York Trumpets
• Conformally flat black hole initial data, with one cylindrical end
• Small deformations of extreme Kerr black hole initial data
• Positive energy theorems in General Relativity
• Distributional sources for black hole initial data