Uniqueness results for ill posed characteristic problems in curved space-times
arXiv:0711.0042 · doi:10.1007/s00220-008-0650-y
Abstract
We prove two uniqueness theorems for solutions of linear and nonlinear wave equations; the first theorem is in the Minkowski space while the second is in the domain of outer communication of a Kerr black hole. Both theorems concern ill posed Cauchy problems on smooth, bifurcate, characteristic hypersurfaces. In the case of the Kerr space-time this hypersurface is the event horizon of the black hole.
Various corrections