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

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.

Publication Details

Journal
ArXiv.org
Published
2025-08-27
Primary Topic
Geochemistry and Geologic Mapping
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article
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article

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

ArXiv.org
Geochemistry and Geologic Mapping
article

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

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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.

ArXiv.org
Openalex Percentile: Top 60%
Geochemistry and Geologic Mapping
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Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder · ArXiv.org (2025) | TGRS Research Map | TGRS