Maciej Maliborski #
Welcome to my homepage. I am a postdoc (Universitätsassistent) at the Faculty of Mathematics, University of Vienna.
ORCID iD Web of Science ResearcherID Scopus Author ID Google Scholar
Vita #
Under this link you may find my curriculum vitae.
Contact #
Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna
T: +43-1-4277-51560 F: +43-1-4277-9515
Email (use Mathematica to encode):
Uncompress @ "1:eJxTTMoPCpZjYGDITUzOTM3Sy03MyUzKLyrOznQozcssy0zVS0zWSywBAPRIDT8="
Research interests #
My current research interests include:
- various aspects of General Relativity (turbulent dynamics of asymptotically AdS spaces and `confined gravity’ models, dynamics of nonlinear waves on bounded domains, critical phenomena in gravitational collapse, singularities, Einstein-Vlasov system),
- numerical relativity,
- numerical methods for partial differential equations,
- numerical analysis.
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).
Refereed papers #
-
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 #
- M. Maliborski, A. Rostworowski, “Turbulent Instability of Anti-de Sitter Space-time”, Int. J. Mod. Phys. A 28, 1340020 (2013),
[arXiv:1308.1235]
Preprints #
-
P. Bizoń, M. Maliborski, “Comment on a regular black hole with Yang-Mills hair”,
[arXiv:2210.17462] -
M. Maliborski, A. Rostworowski, “A comment on ‘Bonson stars in AdS’”,
[arXiv:1307.2875]