123 citations · 547 across the 25 of their papers we have counts for
25 papers
Static vacuum metrics in (4 + 1) dimensions with Λ < 0 and squashed conformal infinity
Piotr T. Chruściel, Jiaxin Song, Raphaela Wutte +2
We construct numerically two families of static five-dimensional Lorentzian metrics, solutions of vacuum Einstein equations with a negative cosmological constant, one with and one…
Looking through the Kerr disk
Maciej Maliborski, Tobias C. Sutter
We study null geodesics that connect the two asymptotically flat regions of the maximally extended Kerr spacetime. These vortical geodesics traverse both horizons and pass through…
Multisoliton solutions for equivariant wave maps on a dimensional wormhole
Piotr Bizoń, Jacek Jendrej, Maciej Maliborski
We study equivariant wave maps from the dimensional wormhole to the 2-sphere. This model has explicit harmonic map solutions which, in suitable coordinates, have the form of…
Dynamics of nonlinear scalar field with Robin boundary condition on the Schwarzschild--Anti-de Sitter background
Filip Ficek, Maciej Maliborski
This work concerns the dynamics of conformal cubic scalar field on a Schwarzschild--anti-de Sitter background. The main focus is on understanding how it depends on the size of the…
Comment on a regular black hole with Yang-Mills hair
Piotr Bizoń, Maciej Maliborski
We comment upon a black hole with Yang-Mills hair presented in a recent preprint by Chen, Du, and Yau.
Resonant Dynamics and the Instability of the Box Minkowski Model
Joël Kurzweil, Maciej Maliborski
We revisit the box Minkowski model [Phys. Rev. Lett. 109, 221101 (2012)] and provide a strong argument that, subject to the Dirichlet boundary condition, it is unstable toward blac…
Characteristic approach to the soliton resolution
Piotr Bizoń, Bradley Cownden, Maciej Maliborski
As a toy model for understanding the soliton resolution phenomenon we consider a characteristic initial boundary value problem for the 4 equivariant Yang-Mills equation outside…
On the canonical energy of weak gravitational fields with a cosmological constant
P. T. Chruściel, Sk J. Hoque, M. Maliborski +1
We analyse the canonical energy of vacuum linearised gravitational fields on light cones on a de Sitter, Minkowski, and Anti de Sitter backgrounds in Bondi gauge. We derive the ass…
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…
On the oscillations and future asymptotics of locally rotationally symmetric Bianchi type III cosmologies with a massive scalar field
David Fajman, Gernot Heißel, Maciej Maliborski
We analyse spatially homogenous cosmological models of locally rotationally symmetric Bianchi type III with a massive scalar field as matter model. Our main result concerns the fut…
The structure of the singular ring in Kerr-like metrics
Piotr T. Chruściel, Maciej Maliborski, Nicolás Yunes
The Kerr geometry is believed to represent the exterior spacetime of astrophysical black holes. We here re-analyze the geometry of Kerr-like metrics (Kerr, Kerr-Newman, Kerr-de Sit…
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…
On the energy of the Horowitz-Myers metrics
Hamed Barzegar, Piotr T. Chruściel, Michael Hörzinger +2
We present results supporting the Horowitz-Myers conjecture, that the Horowitz-Myers metrics minimise energy in the relevant classes of metrics.
Threshold for blowup for the supercritical cubic wave equation
Irfan Glogić, Maciej Maliborski, Birgit Schörkhuber
We consider the focusing cubic wave equation in the energy supercritical case, i.e., in dimensions . For this model an explicit nontrivial self-similar blowup solution wa…
Critical phenomena in the general spherically symmetric Einstein-Yang-Mills system
Maciej Maliborski, Oliver Rinne
We study critical behavior in gravitational collapse of a general spherically symmetric Yang-Mills field coupled to the Einstein equations. Unlike the magnetic ansatz used in previ…
Threshold for blowup for equivariant wave maps in higher dimensions
Paweł Biernat, Piotr Bizoń, Maciej Maliborski
We consider equivariant wave maps from to in supercritical dimensions . Using mixed numerical and analytic methods, we show that th…
Conformal flow on and weak field integrability in AdS
Piotr Bizoń, Ben Craps, Oleg Evnin +3
We consider the conformally invariant cubic wave equation on the Einstein cylinder for small rotationally symmetric initial data. This simple equat…
Dynamics of Nonlinear Waves on Bounded Domains
Maciej Maliborski
This thesis is concerned with dynamics of conservative nonlinear waves on bounded domains. In general, there are two scenarios of evolution. Either the solution behaves in an oscil…
Resonant dynamics and the instability of anti-de Sitter spacetime
Piotr Bizoń, Maciej Maliborski, Andrzej Rostworowski
We consider spherically symmetric Einstein-massless-scalar field equations with negative cosmological constant in five dimensions and analyze evolution of small perturbations of an…
What drives AdS unstable?
Maciej Maliborski, Andrzej Rostworowski
We calculate the spectrum of linear perturbations of standing wave solutions discussed in [Phys. Rev. D 87, 123006 (2013)], as the first step to investigate the stability of global…
Lecture Notes on Turbulent Instability of Anti-de Sitter Spacetime
Maciej Maliborski, Andrzej Rostworowski
In these lecture notes we discuss recently conjectured instability of anti-de Sitter space, resulting in gravitational collapse of a large class of arbitrarily small initial pertur…
A comment on "Boson stars in AdS"
Maciej Maliborski, Andrzej Rostworowski
We comment on asymptotically AdS "large-" initial data, studied in Phys. Rev. D87, 123006 (2013) [arXiv:1304.4166], that are immune to turbulent instability.
Time-periodic solutions in Einstein AdS - massless scalar field system
Maciej Maliborski, Andrzej Rostworowski
We construct time-periodic solutions for a system of self-gravitating massless scalar field, with negative cosmological constant, in d+1 spacetime dimensions at spherical symmetry,…
Instability of Flat Space Enclosed in a Cavity
Maciej Maliborski
We consider a spherically symmetric self-gravitating massless scalar field enclosed inside a timelike worldtube with a perfectly reflecting wall. Numerical evidence i…