Ficek, F., & Maliborski, M. K. (2025). Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder. arXiv. https://doi.org/10.48550/arXiv.2508.19717
E101-03 - Forschungsbereich Scientific Computing and Modelling
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ArXiv ID:
2508.19717
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Date (published):
27-Aug-2025
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Number of Pages:
6
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Preprint Server:
arXiv
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Keywords:
time-periodic solutions; anti-de Sitter
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Abstract:
As a first step in exploring time-periodic solutions of the Einstein equations with a negative cosmological constant, we study the cubic conformal wave equation on the Einstein cylinder. Using a combination of numerical and perturbative techniques, we discover that time-periodic solutions form intricate bifurcation patterns.
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Project title:
Hin und zurück: über (quasi-)periodische Lösungen in der AR: P 36455 (FWF - Österr. Wissenschaftsfonds)
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Project (external):
FWF FWF
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Project ID:
10.55776/Z387 10.55776/Y963
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Research Areas:
Mathematical and Algorithmic Foundations: 50% Modeling and Simulation: 50%
