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

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

1999-06-16

arxiv.org/abs/gr-qc/9906062v2

Phys.Rev.D60:101502,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

added comments, 6 pages, RevTeX, to appear in PRD Rapid Comm

Scientific paper

10.1103/PhysRevD.60.101502

We present a set of dynamical equations based on Ashtekar's extension of the Einstein equation. The system forces the space-time 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, Huebner 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.

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