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.
Mild assumptions for the derivation of
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
years
2026 5verdicts
UNVERDICTED 5representative 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.
Refinement of Brendle's contact-set argument enables ABP proofs of Michael-Simon and Varopoulos-type Sobolev inequalities with lower-order terms under volume noncollapsing on manifolds with nonnegative sectional curvature.
Establishes weak convergence of the quadratic field for speed-change Kawasaki dynamics to equilibrium fluctuation in the non-gradient case.
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.
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Sobolev and Michael-Simon inequalities via the ABP method beyond Euclidean volume growth
Refinement of Brendle's contact-set argument enables ABP proofs of Michael-Simon and Varopoulos-type Sobolev inequalities with lower-order terms under volume noncollapsing on manifolds with nonnegative sectional curvature.
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Quadratic fluctuations of speed-change Kawasaki dynamics
Establishes weak convergence of the quadratic field for speed-change Kawasaki dynamics to equilibrium fluctuation in the non-gradient case.