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.
Microlocal analysis of asymptotically hyperbolic and Kerr–de Sitter spaces (with an appendix by Semyon Dyatlov).Invent
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 3verdicts
UNVERDICTED 3representative citing papers
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.
An enhanced constraint damping property holds for the linearized Einstein equations on any subextremal Kerr metric.
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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Constraint damping on subextremal Kerr spacetimes
An enhanced constraint damping property holds for the linearized Einstein equations on any subextremal Kerr metric.