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: Maciej dot Maliborski at univie dot ac dot at

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).

Preprints #

• F. Ficek, M. Maliborski, “Instability of nonlinear scalar field on strongly charged asymptotically AdS black hole background”, [arXiv:2411.09447]

• P. Bizoń, J. Jendrej, M. Maliborski, “Multi-soliton solutions for equivariant wave maps on a 2+1 dimensional wormhole”, [arXiv:2410.02020]

• F. Ficek, M. Maliborski, “Trees, trunks, and branches – bifurcation structure of time-periodic solutions to \(u_{tt}-u_{xx}\pm u^{3}=0\) ”, [arXiv:2408.05158]

• F. Ficek, M. Maliborski, “Periodic Solutions for the 1d Cubic Wave Equation with Dirichlet Boundary Conditions”, [arXiv:2407.16507]

• D. Fajman, M. Maliborski, M. Ofner, T. Oliynyk, Z. Wyatt, “Phase transition between shock formation and stability in cosmological fluids”, [arXiv:2405.03431]

• 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, “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]

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