Constraint propagation in (N + 1)-dimensional space-time

Hisa Aki Shinkai, Gen Yoneda

    Research output: Contribution to journalArticle

    9 Citations (Scopus)


    Higher dimensional space-time models provide us an alternative interpretation of nature, and give us different dynamical aspects than the traditional four-dimensional space-time models. Motivated by such recent interests, especially for future numerical research of higher-dimensional space-time, we study the dimensional dependence of constraint propagation behavior. The N+1 Arnowitt-Deser-Misner evolution equation has matter terms which depend on N, but the constraints and constraint propagation equations remain the same. This indicates that there would be problems with accuracy and stability when we directly apply the N+1 ADM formulation to numerical simulations as we have experienced in four-dimensional cases. However, we also conclude that previous efforts in re-formulating the Einstein equations can be applied if they are based on constraint propagation analysis.

    Original languageEnglish
    Pages (from-to)1931-1937
    Number of pages7
    JournalGeneral Relativity and Gravitation
    Issue number8
    Publication statusPublished - 2004 Aug



    • constraint propagation
    • formulation problem
    • Numerical relativity

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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