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.
Conditional non-linear stability of Kerr–de Sitter space- times: the full subextremal range.Preprint, arXiv:2508.06620,
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An enhanced constraint damping property holds for the linearized Einstein equations on any subextremal Kerr metric.
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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.
- Nonlinear stability of subextremal Kerr black holes