The authors prove that scale-critical short-pulse initial data can produce global Kerr black hole formation spacetimes with a complete apparent horizon, and they derive dynamical and spacetime Penrose inequalities in the perturbative Kerr regime.
An, A scale-critical trapped surface formation criterion: a new proof via signature for decay rates , Ann
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On Kerr black hole formation with complete apparent horizon and a new approach toward Penrose inequality
The authors prove that scale-critical short-pulse initial data can produce global Kerr black hole formation spacetimes with a complete apparent horizon, and they derive dynamical and spacetime Penrose inequalities in the perturbative Kerr regime.