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

Hisa Aki Shinkai, Gen Yoneda

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

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
Volume36
Issue number8
DOIs
Publication statusPublished - 2004 Aug 1

Keywords

  • Numerical relativity
  • constraint propagation
  • formulation problem

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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