21 citations · 34 across the 6 of their papers we have counts for
7 papers
The Unruh state for bosonic Teukolsky fields on subextreme Kerr spacetimes
Dietrich Häfner, Christiane K. M. Klein
We perform the quantization of Teukolsky scalars of spin , , and within the algebraic approach to quantum field theory. We first discuss the classical phase space…
Linear stability of Kerr black holes in the full subextremal range
Dietrich Häfner, Peter Hintz, András Vasy
We prove, unconditionally, the linear stability of the Kerr family in the full subextremal range. On an analytic level, our proof is the same as that of our earlier paper in the sl…
The Unruh state for massless fermions on Kerr spacetime and its Hadamard property
Christian Gérard, Dietrich Häfner, Michał Wrochna
We give a rigorous definition of the Unruh state in the setting of massless Dirac fields on slowly rotating Kerr spacetimes. In the black hole exterior region, we show that it is a…
Existence of exponentially growing finite energy solutions for the charged Klein-Gordon equation on the De Sitter-Kerr-Newman metric
Nicolas Besset, Dietrich Häfner
We show the existence of exponentially growing finite energy solutions for the charged Klein-Gordon equation on the De Sitter-Kerr-Newman metric for small charge and mass of the fi…
Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy
Vladimir Georgescu, Christian Gérard, Dietrich Häfner
We study in this paper an abstract class of Klein-Gordon equations: \[ \p_{t}^{2}ϕ(t)- 2ık \p_{t}ϕ(t)+ h ϕ(t)=0, \] where $ϕ: \rr\to \cH$, $\cH$ is a (complex) Hilbert space, and $…
Low frequency resolvent estimates for long range perturbations of the Euclidean Laplacian
Jean-Francois Bony, Dietrich Hafner
Using Mourre theory, we obtain low frequency resolvent estimates with sharp weights for long range metric perturbations of the flat Laplacian.