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

Hisa Aki Shinkai*, Gen Yoneda

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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.

Original languageEnglish
Article number101502
Pages (from-to)1-5
Number of pages5
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number10
Publication statusPublished - 1999 Nov 15

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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