Maciej Maliborski #
Welcome to my homepage. I am a postdoc (Universitätsassistent) at the Institute of Analysis and Scientific Computing, TU Wien.
ORCID iD Web of Science ResearcherID Scopus Author ID Google Scholar
Vita #
Under this link you may find my curriculum vitae.
Contact #
Institute of Analysis and Scientific Computing, TU Wien, Wiedner Hauptstraße 8–10, 1040 Vienna
Email: Maciej dot Maliborski at tuwien dot ac dot at
Research interests #
My current research interests:
- various aspects of mathematical general relativity, including:
- turbulent dynamics of asymptotically AdS spaces and confined gravity models
- critical phenomena in gravitational collapse
- singularities
- cosmological solutions
- Hamiltonian partial differential equations on bounded domains
- numerical relativity
- numerical analysis of partial differential equations
More specifically, I use numerical methods and analytical techniques to get insight into the structure of solutions to the nonlinear evolution equations (like the Einstein equation).
Publications #
My PhD thesis is posted on arXiv: M. Maliborski, “Dynamics of
Nonlinear Waves on Bounded Domains”, Jagiellonian University,
November 2014
[arXiv:1603.00935] (direct
download
link).
For all of my recent papers see inSPIRE (physics) or arXiv (physics+math).
Preprints #
-
F. Ficek, M. Maliborski, “Nonlinear oscillations of strings and beams”,
[arXiv:2508.19091] -
F. Ficek, M. Maliborski, “New class of time-periodic solutions to the 1D cubic wave equation”,
[arXiv:2506.10839] -
P. Bizoń, M. Maliborski, “Comment on a regular black hole with Yang-Mills hair”,
[arXiv:2210.17462] -
M. Maliborski, A. Rostworowski, “A comment on ‘Boson stars in AdS’”,
[arXiv:1307.2875]
Refereed papers #
-
F. Ficek, M. Maliborski, “Trees, trunks, and branches – bifurcation structure of time-periodic solutions to \(u_{tt}-u_{xx}\pm u^{3}=0\) ”, accepted for publication in Adv. Theor. Math. Phys.
[arXiv:2408.05158] -
F. Ficek, M. Maliborski, “Complex structure of time-periodic solutions decoded in Poincaré-Lindstedt series: the cubic conformal wave equation on \(\mathbb{S}^{3}\) ”, Physica D 481, 134864 (2025)
[arXiv:2504.10513] -
D. Fajman, M. Maliborski, M. Ofner, T. Oliynyk, Z. Wyatt, “Phase transition between shock formation and stability in cosmological fluids”, Class. Quantum Grav. 42, 14LT01 (2025)
[arXiv:2405.03431] -
F. Ficek, M. Maliborski, “Periodic Solutions for the 1d Cubic Wave Equation with Dirichlet Boundary Conditions”, Nonlinearity 38, 065016 (2025)
[arXiv:2407.16507] -
F. Ficek, M. Maliborski, “Instability of nonlinear scalar field on strongly charged asymptotically AdS black hole background”, Phys. Rev. D 111, 064017 (2025)
[arXiv:2411.09447] -
P. Bizoń, J. Jendrej, M. Maliborski, “Multisoliton solutions for equivariant wave maps on a \(2+1\) dimensional wormhole”, Phys. Rev. D 111, 024006 (2025),
[arXiv:2410.02020] -
F. Ficek, M. Maliborski, “Dynamics of nonlinear scalar field with Robin boundary condition on the Schwarzschild–Anti-de Sitter background”, Phys. Rev. D 109, 044015 (2024),
[arXiv:2312.02760] -
J. Kurzweil, M. Maliborski, “Resonant dynamics and the instability of the box Minkowski model” Phys. Rev. D 106, 124020 (2022),
[arXiv:2209.05608] -
P. Bizoń, B. Cownden, M. Maliborski, “Characteristic approach to the soliton resolution” Nonlinearity 35, 4585 (2022),
[arXiv:2112.11249] -
P.T. Chruściel, Sk J. Hoque, M. Maliborski, T. Smołka, “On the canonical energy of weak gravitational fields with a cosmological constant \(\Lambda\in\mathbb{R}\) ” Eur. Phys. J. C 81, 696 (2021),
[arXiv:2103.05982] -
D. Fajman, G. Heißel, M. Maliborski, “On the oscillations and future asymptotics of locally rotationally symmetric Bianchi type III cosmologies with a massive scalar field”, Class. Quantum Gravity 37, 135009 (2020),
[arXiv:2001.00252] -
P.T. Chruściel, M. Maliborski, N. Yunes, “Structure of the singular ring in Kerr-like metrics”, Phys. Rev. D 101, 104048 (2020),
[arXiv:1912.06020] -
P. Bizoń, M. Maliborski, “Dynamics at the threshold for blowup for supercritical wave equations outside a ball”, Nonlinearity 33, 3195 (2020),
[arXiv:1909.01626] -
P. Bizoń, D. Hunik-Kostyra, M. Maliborski, “AdS Robin solitons and their stability”, Class. Quantum Gravity 37, 105010 (2020),
[arXiv:2001.03980] -
I. Glogić, M. Maliborski, B. Schörkhuber, “Threshold for blowup for the supercritical cubic wave equation”, Nonlinearity 33, 2143 (2020),
[arXiv:1905.13739] -
H. Barzegar, P.T. Chruściel, M. Hörzinger, M. Maliborski, L. Nguyen, “Remarks on the energy of asymptotically Horowitz-Myers metrics”, Phys. Rev. D 101, 024007 (2020),
[arXiv:1907.04019] -
M. Maliborski, O. Rinne, “Critical phenomena in the general spherically symmetric Einstein-Yang-Mills system”, Phys. Rev. D 97, 044053 (2018),
[arXiv:1712.04458] -
P. Biernat, P. Bizoń, M. Maliborski, “Threshold for blowup for equivariant wave maps in higher dimensions”, Nonlinearity 30, 1513 (2017),
[arXiv:1608.07707] -
P. Bizoń, B. Craps, O. Evnin, D. Hunik, V. Luyten, M. Maliborski, “Conformal Flow on \(S^3\) and Weak Field Integrability in AdS \(_4\) ”, Commun. Math. Phys. 353, 1179 (2017),
[arXiv:1608.07227] -
P. Bizoń, M. Maliborski, A. Rostworowski, “Resonant dynamics and the instability of anti-de Sitter spacetime”, Phys. Rev. Lett. 115, 081103 (2015),
[arXiv:1506.03519] -
M. Maliborski, A. Rostworowski, “What drives AdS spacetime unstable?”, Phys. Rev. D 89, 124006 (2014),
[arXiv:1403.5434] -
M. Maliborski, A. Rostworowski, “Time-Periodic Solutions in an Einstein AdS–Massless-Scalar-Field System”, Phys. Rev. Lett. 111, 051102 (2013),
[arXiv:1303.3186] -
M. Maliborski, “Instability of Flat Space Enclosed in a Cavity”, Phys. Rev. Lett. 109, 221101 (2012),
[arXiv:1208.2934] -
P. Bizoń, T. Chmaj, M. Maliborski, “Equivariant wave maps exterior to a ball”, Nonlinearity 25, 1299 (2012),
[arXiv:1110.4762]
Proceedings #
-
F. Ficek, M.Maliborski, “Instability mechanisms on asymptotically AdS black hole backgrounds”, accepted for publication in Journal of Physics: Conference Series (Proceedings of the GR24&Amaldi16 meeting),
[arXiv:2508.20483] -
F. Ficek, M. Maliborski, “Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder”, accepted for publication in Journal of Physics: Conference Series (Proceedings of the GR24&Amaldi16 meeting),
[arXiv:2508.19717] -
M. Maliborski, A. Rostworowski, “Turbulent Instability of Anti-de Sitter Space-time”, Int. J. Mod. Phys. A 28, 1340020 (2013),
[arXiv:1308.1235]
Posters #
-
“Dynamics of nonlinear scalar field with Robin BC in SAdS and RNAdS”, with F. Ficek, Black Holes Inside and Out, Copenhagen 26-30 August, 2024
-
“On moving mesh method applied to critical collapse”, AEI, 2016
-
“Instability of anti-de Sitter spacetime–resonant approximation”, AEI, 2016
Other #
-
F. Ficek, M. Maliborski, “Complex structure of time-periodic solutions decoded in Poincaré-Lindstedt series: the cubic conformal wave equation on \(\mathbb{S}^{3}\) ”, Wolfram Community, STAFF PICKS, September 17, 2025
-
C. Schell, M. Maliborski, “Stabil oder nicht stabil? Eine Raumzeit auf dem Prüfstand”, Max Planck Yearbook, 2015
-
M. Maliborski, “The anti-de Sitter stability problem”, Report 2013-2016, Max-Planck-Institut für Gravitationsphysik Albert-Einstein-Institut, 2018