All Problems
50 problems · 28 open · 21 partial · status: April 2026
K-001
Full nonlinear stability of subextremal Kerr
K-002
Uniform nonlinear stability as a→M−
K-003
Nonlinear asymptotic completeness near Kerr
K-004
Peeling and polyhomogeneous null infinity for near-Kerr
K-005
Sharp nonlinear Price law for curvature
K-006
Kerr stability with BMS charges and nonlinear memory
K-007
Einstein–Maxwell stability near Kerr
K-008
Full stability of asymptotically flat Kerr–Newman
K-009
Einstein–massive Klein–Gordon near Kerr endstates
K-010
Nonlinear superradiant endstates in Kerr–AdS
K-011
Spin fields on dynamical near-Kerr backgrounds
K-012
Low-regularity Kerr stability threshold
K-013
Formation plus relaxation to Kerr
K-014
Nonlinear decay versus resonance expansions
K-101
Strong Cosmic Censorship threshold for Kerr interiors
K-102
Derive the interior theorem directly from exterior data
K-103
Vacuum curvature blow-up rates on the Kerr Cauchy horizon
K-104
Generic C²- or Lipschitz-inextendibility of near-Kerr MGHDs
K-105
Critical horizon-decay exponent controlling extendibility
K-106
Genericity of lower bounds for linearized-gravity interior instability
K-107
Scattering map to the Cauchy horizon for linearized gravity
K-108
Strong Cosmic Censorship in rotating Λ>0 backgrounds
K-109
Near-extremal interior scaling laws
K-110
Bifurcation-sphere stability and full interior series completion
K-111
Global interior boundary type: null versus spacelike pieces
K-112
Teukolsky interior asymptotics beyond the current state of the art
K-201
Nonlinear codimension-1 stability of extremal Kerr with horizon hair
K-202
Full linear theory for extremal Kerr (spin 2)
K-203
Nonlinear fate of Aretakis instability
K-204
Uniform estimates in the surface-gravity limit κ→0
K-205
Rigorous near-horizon scattering theory for NHEK
K-206
Extremal interior SCC and Cauchy-horizon regularity
K-207
Extremal tail asymptotics versus conserved charges
K-208
Near-extremal QNM accumulation and branch-cut structure
K-209
Codimension and modulation theory for extremal endstates
K-301
Global Kerr uniqueness without analyticity
K-302
Rigidity for extremal horizons
K-303
Quantitative Kerr characterization via the Mars–Simon tensor
K-304
Near-Kerr implies Kerr with computable constants
K-305
Kerr characterization from horizon intrinsic data
K-306
Hidden symmetries under perturbation
K-307
Photon-region and trapping stability in dynamical near-Kerr spacetimes
K-308
Rigidity and uniqueness with matter: full Kerr–Newman regime
K-401
QNM completeness for Kerr ringdown expansions
K-402
Nonlinear QNMs from full Einstein evolution
K-403
Scattering theory for linearized gravity on Kerr
K-404
Zero-frequency structure and tail universality
K-405
Inverse scattering for Kerr parameters
K-406
Spectral stability and pseudospectrum of Kerr QNMs
K-407
QNM excitation factors and universality theorems