88 citations · 658 across the 31 of their papers we have counts for
15 papers · 1 filter
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…
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…
A Yang-Mills field on the extremal Reissner-Nordström black hole
Piotr Bizoń, Michał Kahl
We consider a spherically symmetric (magnetic) Yang-Mills field propagating on the exterior of the extremal Reissner-Nordström black hole. Taking advantage of the conformal…
Initial data for rotating cosmologies
Piotr Bizoń, Stefan Pletka, Walter Simon
We revisit the construction of maximal initial data on compact manifolds in vacuum with positive cosmological constant via the conformal method. We discuss, extend and apply recent…
Wave maps on a wormhole
Piotr Bizoń, Michał Kahl
We consider equivariant wave maps from a wormhole spacetime into the three-sphere. This toy-model is designed for gaining insight into the dissipation-by-dispersion phenomena, in p…
Comment on "Holographic Thermalization, stability of AdS, and the Fermi-Pasta-Ulam-Tsingou paradox" by V. Balasubramanian et al
Piotr Bizoń, Andrzej Rostworowski
We comment upon a numerical computation in a recent paper by Balasubramanian, Buchel, Green, Lehner, and Liebling.
Globally regular instability of
Piotr Bizoń, Joanna Jałmużna
We consider three-dimensional AdS gravity minimally coupled to a massless scalar field and study numerically the evolution of small smooth circularly symmetric perturbations of the…
A remark about wave equations on the extreme Reissner-Nordström black hole exterior
Piotr Bizoń, Helmut Friedrich
We consider a massless scalar field propagating on the exterior of the extreme Reissner-Nordström black hole. Using a discrete conformal symmetry of this spacetime, we draw a one-t…
A comment on AdS collapse of a scalar field in higher dimensions
Joanna Jałmużna, Andrzej Rostworowski, Piotr Bizoń
We point out that the weakly turbulent instability of anti-de Sitter space, recently found in arXiv:1104.3702 for four dimensional spherically symmetric Einstein-massless-scalar fi…
Saddle-point dynamics of a Yang-Mills field on the exterior Schwarzschild spacetime
Piotr Bizoń, Andrzej Rostworowski, Anıl Zenginoğlu
We consider the Cauchy problem for a spherically symmetric SU(2) Yang-Mills field propagating outside the Schwarzschild black hole. Although solutions starting from smooth finite e…
A note about late-time wave tails on a dynamical background
Piotr Bizoń, Andrzej Rostworowski
Consider a spherically symmetric spacetime generated by a self-gravitating massless scalar field and let be a test (nonspherical) massless scalar field propagating on this…
Anomalously small wave tails in higher dimensions
Piotr Bizoń, Tadeusz Chmaj, Andrzej Rostworowski
We consider the late-time tails of spherical waves propagating on even-dimensional Minkowski spacetime under the influence of a long range radial potential. We show that in six and…
A note on the non-existence of -model solitons in the 2+1 dimensional AdS gravity
Piotr Bizoń, Arthur Wasserman
We show that the gravitating static soliton in the 2+1 dimensional O(3) model does not exist in the presence of a negative cosmological constant.