10 citations · 36 across the 11 of their papers we have counts for
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Mode analysis for the linearized Einstein equations on the Kerr metric : the large case
Lars Andersson, Dietrich Häfner, Bernard F. Whiting
We give a complete analysis of mode solutions for the linearized Einstein equations and the form wave operator on the Kerr metric in the large case. By mode solu…
Linear stability of slowly rotating Kerr black holes
Dietrich Häfner, Peter Hintz, András Vasy
We prove the linear stability of slowly rotating Kerr black holes as solutions of the Einstein vacuum equation: linearized perturbations of a Kerr metric decay at an inverse polyno…
Instability of infinitely many stationary solutions of the SU(2) Yang-Mills fields on the exterior of the Schwarzschild black hole
Dietrich Häfner, Cécile Huneau
We consider the spherically symmetric SU(2) Yang-Mills Fields on the Schwarzschild metric. Within the so called purely magnetic Ansatz we show that there exists a countable number…
The decay of the Yang-Mills fields on the Schwarzschild black hole for spherically symmetric small energy initial data
Sari Ghanem, Dietrich Häfner
We prove uniform decay estimates in the entire exterior of the Schwarzschild black hole for gauge invariant norms on the Yang-Mills fields valued in the Lie algebra associated to t…
Asymptotic completeness for superradiant Klein-Gordon equations and applications to the De Sitter Kerr metric
Vladimir Georgescu, Christian Gérard, Dietrich Häfner
We show asymptotic completeness for a class of superradiant Klein-Gordon equations. Our results are applied to the Klein-Gordon equation on the De Sitter Kerr metric with small ang…
Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case
Jean-Francois Bony, Dietrich Hafner
We show improved local energy decay for the wave equation on asymptotically Euclidean manifolds in odd dimensions in the short range case. The precise decay rate depends on the dec…