Uniqueness results for ill posed characteristic problems in curved space-times

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

References in corpus (3)

• On the uniqueness of smooth, stationary black holes in vacuum
• A spacetime characterization of the Kerr metric
• Quasi-Spherical Light Cones of the Kerr Geometry

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