Normally hyperbolic trapping on asymptotically stationary spacetimes
METADATA ONLY
Loading...
Author / Producer
Date
2021-03-16
Publication Type
Journal Article
ETH Bibliography
no
Citations
Altmetric
METADATA ONLY
Data
Rights / License
Abstract
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.
Permanent link
Publication status
published
External links
Editor
Book title
Journal / series
Volume
2 (1)
Pages / Article No.
71 - 126
Publisher
Mathematical Sciences Publishers
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Normally hyperbolic trapping; Propagation of singularities; Wave equations; Black holes
Organisational unit
09749 - Hintz, Peter (ehemalig) / Hintz, Peter (former)