Asymptotically constrained and real-valued system based on Ashtekar's variables

Hisa Aki Shinkai*, Gen Yoneda

*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

We present a set of dynamical equations based on Ashtekar's extension of the Einstein equation. The system forces the spacetime to evolve to the manifold that satisfies the constraint equations or the reality conditions or both as the attractor against perturbative errors. This is an application of the idea by Brodbeck, Frittelli, Hübner, and Reula who constructed an asymptotically stable (i.e., constrained) system for the Einstein equation, adding dissipative forces in the extended space. The obtained systems may be useful for future numerical studies using Ashtekar's variables.

本文言語English
論文番号101502
ページ(範囲)1-5
ページ数5
ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
60
10
出版ステータスPublished - 1999 11月 15

ASJC Scopus subject areas

  • 物理学および天文学(その他)

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