Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-08-31
Phys.Rev.D62:124011,2000
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages, 9 figures. Added a new section, plus incorporated many comments made by referee
Scientific paper
10.1103/PhysRevD.62.124011
We study the stability properties of the standard ADM formulation of the 3+1 evolution equations of general relativity through linear perturbations of flat spacetime. We focus attention on modes with zero speed of propagation and conjecture that they are responsible for instabilities encountered in numerical evolutions of the ADM formulation. These zero speed modes are of two kinds: pure gauge modes and constraint violating modes. We show how the decoupling of the gauge by a conformal rescaling can eliminate the problem with the gauge modes. The zero speed constraint violating modes can be dealt with by using the momentum constraints to give them a finite speed of propagation. This analysis sheds some light on the question of why some recent reformulations of the 3+1 evolution equations have better stability properties than the standard ADM formulation.
Alcubierre Miguel
Allen Gabrielle
Bruegmann Bernd
Seidel Edward
Suen W.-M.
No associations
LandOfFree
Towards an understanding of the stability properties of the 3+1 evolution equations in general relativity 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 Towards an understanding of the stability properties of the 3+1 evolution equations in general relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towards an understanding of the stability properties of the 3+1 evolution equations in general relativity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-499234