AWhat changed
Aretakis established conserved horizon quantities for linear massless scalar waves on a class of smooth extremal axisymmetric black hole backgrounds and derived horizon non-decay; under additional geometric and decay conditions, higher transverse derivatives become unbounded. The extremal Kerr specialization gives explicit generic growth bounds.
Scientific scope
Aretakis established conserved horizon quantities for linear massless scalar waves on a class of smooth extremal axisymmetric black hole backgrounds and derived horizon non-decay; under additional geometric and decay conditions, higher transverse derivatives become unbounded. The extremal Kerr specialization gives explicit generic growth bounds. Fixed-background linear scalar waves on the stated extremal geometries; the general derivative blow-up result has additional assumptions and the Kerr growth result uses a nonzero conserved horizon charge. This is not a proof of nonlinear gravitational instability or an astronomical observation.
Evidence
The linked original works support the scoped statement and contribution attribution. WRS has not independently replayed experiments or reconstructed a full mathematical proof. Fixed-background linear scalar waves on the stated extremal geometries; the general derivative blow-up result has additional assumptions and the Kerr growth result uses a nonzero conserved horizon charge. This is not a proof of nonlinear gravitational instability or an astronomical observation.
Contributors
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