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arXiv · 2508.19717

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder

Ficek Filip·Maciej Maliborski
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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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Ficek Filip, Maciej Maliborski. 2025-08-27. Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder. https://arxiv.org/abs/2508.19717

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