Proves global nonlinear stability of subextremal Kerr black holes, with solutions settling to a nearby Kerr member at rate O(t_*^{-2-ε_K}) from initial data with O(r^{-1-ε0}) decay.
B.On crossing the Cauchy horizon of a Reissner-N¨ ordstrom black-hole.Proc
3 Pith papers cite this work. Polarity classification is still indexing.
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Establishes tame weighted Sobolev estimates for linear waves on dynamical asymptotically flat spacetimes settling to Kerr, handling zero-energy bound states via microlocal and energy methods to enable nonlinear global existence results.
A weak null singularity forms inside generic subextremal strictly rotating black holes, with the metric continuously extendible but not Lipschitz extendible.
citing papers explorer
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Nonlinear stability of subextremal Kerr black holes
Proves global nonlinear stability of subextremal Kerr black holes, with solutions settling to a nearby Kerr member at rate O(t_*^{-2-ε_K}) from initial data with O(r^{-1-ε0}) decay.
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(Non-)Linear waves on asymptotically flat spacetimes. II: trapping, bound states, nonlinear applications
Establishes tame weighted Sobolev estimates for linear waves on dynamical asymptotically flat spacetimes settling to Kerr, handling zero-energy bound states via microlocal and energy methods to enable nonlinear global existence results.
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The formation of a weak null singularity in the interior of generic rotating black holes
A weak null singularity forms inside generic subextremal strictly rotating black holes, with the metric continuously extendible but not Lipschitz extendible.