Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-03-09
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, LaTeX, 4 eps figures, for the proceedings of 10th JGRG, Osaka, Japan, Sept. 11 - 14, 2000
Scientific paper
In order to perform accurate and stable long-term numerical integration of the Einstein equations, several hyperbolic systems have been proposed. We here report our numerical comparisons between weakly hyperbolic, strongly hyperbolic, and symmetric hyperbolic systems based on Ashtekar's connection variables. The primary advantage for using this connection formulation is that we can keep using the same dynamical variables for all levels of hyperbolicity. We also study asymptotically constrained systems, "$\lambda$-system" and "adjusted system", for numerical integration of the Einstein equations, which are intended to be robust against perturbative errors for the free evolution of the initial data. These systems are tested in the Maxwell system and in the Ashtekar's system. This mechanism affects more than the system's symmetric hyperbolicity. (This workshop contribution is the summary of our gr-qc/0005003 [CQG 17 (2000) 4799] and gr-qc/0007034 [CQG 18 (2001) 441].)
Shinkai Hisa-aki
Yoneda Gen
No associations
LandOfFree
Will hyperbolic formulations help numerical relativity? - Experiments using Ashtekar's connection variables does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Will hyperbolic formulations help numerical relativity? - Experiments using Ashtekar's connection variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Will hyperbolic formulations help numerical relativity? - Experiments using Ashtekar's connection variables will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-308268