Diagonalizability of constraint propagation matrices

Gen Yoneda*, Hisa Aki Shinkai

*この研究の対応する著者

研究成果: Article査読

7 被引用数 (Scopus)

抄録

In order to obtain stable and accurate general relativistic simulations, reformulations of the Einstein equations are necessary. In a series of our works, we have proposed using eigenvalue analysis of constraint propagation equations for evaluating violation behaviour of constraints. In this letter, we classify asymptotical behaviours of constraint violation into three types (asymptotically constrained, asymptotically bounded and diverge), and give their necessary and sufficient conditions. We find that degeneracy of eigenvalues sometimes leads constraint evolution to diverge (even if its real part is not positive) and conclude that it is quite useful to check the diagonalizability of constraint propagation matrices. The discussion is general and can be applied to any numerical treatments of constrained dynamics.

本文言語English
ページ(範囲)L31-L36
ジャーナルClassical and Quantum Gravity
20
4
DOI
出版ステータスPublished - 2003 2月 21

ASJC Scopus subject areas

  • 物理学および天文学(その他)

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