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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An enhanced constraint damping property holds for the linearized Einstein equations on any subextremal Kerr metric.
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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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Constraint damping on subextremal Kerr spacetimes
An enhanced constraint damping property holds for the linearized Einstein equations on any subextremal Kerr metric.