K-013

Formation plus relaxation to Kerr

open Exterior Stability

Statement

Prove a global theorem in which generic asymptotically flat vacuum data form a black hole and the exterior subsequently relaxes to Kerr with quantitative radiation control.

Mathematical prerequisites

Trapped-surface formation; global causal geometry; continuation criteria; matching formation and relaxation regimes.

Why it matters

This would turn the standard numerical-relativity narrative into a theorem.

Completion criteria

A complete answer must specify an open class of initial data, prove black-hole formation, establish complete null infinity, and show quantitative Kerr asymptotics outside the hole.

Implications if solved

Would unite collapse theory and Kerr stability into one coherent mathematical picture.

Last updated: 2026-04-05 · Edit on GitHub →