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

Published 27 Aug 2025 in gr-qc, math-ph, math.AP, and math.MP | (2508.19717v1)

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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