- Journal Article
We prove microlocal estimates at the trapped set of asymptotically Kerr spacetimes: these are spacetimes whose metrics decay inverse polynomially in time to a stationary subextremal Kerr metric. This combines two independent results. The first one is purely dynamical: we show that the stable and unstable manifolds of a decaying perturbation of a time-translation-invariant dynamical system with normally hyperbolic trapping are smooth and decay to their stationary counterparts. The second, independent, result provides microlocal estimates for operators whose null-bicharacteristic flow has a normally hyperbolic invariant manifold, under suitable nondegeneracy conditions on the stable and unstable manifolds; this includes operators on closed manifolds, as well as operators on spacetimes for which the invariant manifold lies at future infinity. Show more
Journal / seriesProbability and Mathematical Physics
Pages / Article No.
PublisherMathematical Sciences Publishers
SubjectNormally hyperbolic trapping; Propagation of singularities; Wave equations; Black holes
Organisational unit09749 - Hintz, Peter / Hintz, Peter
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