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Horizon instability of extremal black holes

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.

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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.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

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.

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People and systems

Stefanos Aretakis

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English catalogue narrative

Horizon instability of extremal black holes

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

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.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Stefanos Aretakis

These are the listed authors of the cited contribution sources. Paper authorship does not quantify individual effort. An incomplete list is explicitly marked; same names are not automatically merged.

Original sources