Constraint propagation in the family of ADM systems

Gen Yoneda, Hisa Aki Shinkai*

*この研究の対応する著者

研究成果: Article査読

21 被引用数 (Scopus)

抄録

The current important issue in numerical relativity is to determine which formulation of the Einstein equations provides us with stable and accurate simulations. Based on our previous work on "asymptotically constrained" systems, we here present constraint propagation equations and their eigenvalues for the ArnowittDeser-Misner (ADM) evolution equations with additional constraint terms (adjusted terms) on the right-hand side. We conjecture that the system is robust against violation of constraints if the amplification factors (eigenvalues of the Fourier component of the constraint propagation equations) are negative or purely imaginary. We show that such a system can be obtained by choosing multipliers of the adjusted terms. Our discussion covers Detweiler's proposal and Frittelli's analysis, and we also mention the so-called conformaltraceless ADM systems.

本文言語English
論文番号124019
ジャーナルPhysical Review D
63
12
DOI
出版ステータスPublished - 2001

ASJC Scopus subject areas

  • 物理学および天文学(その他)

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