188 citations · 711 across the 33 of their papers we have counts for
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The Einstein-Klein-Gordon-AdS system for general boundary conditions
Gustav H. Holzegel, Claude M. Warnick
We construct unique local solutions for the spherically-symmetric Einstein-Klein-Gordon-AdS system subject to a large class of initial and boundary conditions including some consid…
A scattering theory construction of dynamical vacuum black holes
Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski
We construct a large class of dynamical vacuum black hole spacetimes whose exterior geometry asymptotically settles down to a fixed Schwarzschild or Kerr metric. The construction p…
Quasimodes and a Lower Bound on the Uniform Energy Decay Rate for Kerr-AdS Spacetimes
Gustav Holzegel, Jacques Smulevici
We construct quasimodes for the Klein-Gordon equation on the black hole exterior of Kerr-Anti-de Sitter (Kerr-AdS) spacetimes. Such quasi-modes are associated with time-periodic ap…