K-305
Kerr characterization from horizon intrinsic data
partial Rigidity / Uniqueness
Statement
Find minimal intrinsic conditions on a horizon cross-section that force the ambient vacuum spacetime to be locally Kerr.
Mathematical prerequisites
Isolated-horizon formalism; Petrov type D conditions; geometric PDE on two-spheres; local-to-global extension.
Why it matters
This asks how much of Kerr is encoded directly on the horizon.
Completion criteria
A complete answer must identify intrinsic horizon data and prove a local or global reconstruction theorem to Kerr.
Implications if solved
Would give a horizon-based recognition principle for the Kerr geometry.
Last updated: 2026-04-05 ·
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