Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder
General Relativity and Quantum Cosmology
2025-08-28 v1 Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.2508.19717,
title = {Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder},
author = {Ficek Filip and Maciej Maliborski},
journal= {arXiv preprint arXiv:2508.19717},
year = {2025}
}
Comments
6 pages. Submitted to the proceedings of the GR24-Amaldi16 meeting