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.
Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime , volume=
4 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.
An enhanced constraint damping property holds for the linearized Einstein equations on any subextremal Kerr metric.
The leading-order late-time asymptotic for linear waves on radially symmetric stationary perturbations of (2+1)-Minkowski space is proportional to u^{-1/2}v^{-1/2}.
citing papers explorer
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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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Late-time tails for linear waves on radially symmetric stationary spacetimes of two space dimensions
The leading-order late-time asymptotic for linear waves on radially symmetric stationary perturbations of (2+1)-Minkowski space is proportional to u^{-1/2}v^{-1/2}.