88 citations · 658 across the 31 of their papers we have counts for
32 papers
Sine-Gordon on a wormhole
Piotr Bizoń, Maciej Dunajski, Michał Kahl +1
In an attempt to understand the soliton resolution conjecture, we consider the Sine-Gordon equation on a spherically symmetric wormhole spacetime. We show that within each topologi…
A toy model of hyperboloidal approach to quasinormal modes
Piotr Bizoń, Tadeusz Chmaj, Patryk Mach
We consider a scalar field propagating in the static region of the two dimensional de Sitter space. This simple system is used to illustrate the advantages of hyperboloidal foliati…
AdS Robin solitons and their stability
Piotr Bizoń, Dominika Hunik-Kostyra, Maciej Maliborski
We consider the four-dimensional Einstein-Klein-Gordon-AdS system with conformal mass subject to the Robin boundary conditions at infinity. Above a critical value of the Robin para…
Dynamics at the threshold for blowup for supercritical wave equations outside a ball
Piotr Bizoń, Maciej Maliborski
We consider spherically symmetric supercritical focusing wave equations outside a ball. Using mixed analytical and numerical methods, we show that the threshold for blowup is given…
Vacuum initial data on from Killing vectors
Robert Beig, Piotr Bizoń, Walter Simon
We construct compact initial data of constant mean curvature for Einstein's 4d vacuum equations with positive, where is the…
Gravitational turbulent instability of AdS
Piotr Bizoń, Andrzej Rostworowski
We consider the problem of stability of anti-de Sitter spacetime in five dimensions under small purely gravitational perturbations satisfying the cohomogeneity-two biaxial Bianchi…