Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-02-28
Class.Quant.Grav. 19 (2002) 3679-3686
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages, 2 figures
Scientific paper
10.1088/0264-9381/19/14/309
There is strong evidence indicating that the particular form used to recast the Einstein equation as a 3+1 set of evolution equations has a fundamental impact on the stability properties of numerical evolutions involving black holes and/or neutron stars. Presently, the longest lived evolutions have been obtained using a parametrized hyperbolic system developed by Kidder, Scheel and Teukolsky or a conformal-traceless system introduced by Baumgarte, Shapiro, Shibata and Nakamura. We present a new conformal-traceless system. While this new system has some elements in common with the Baumgarte-Shapiro-Shibata-Nakamura system, it differs in both the type of conformal transformations and how the non-linear terms involving the extrinsic curvature are handled. We show results from 3D numerical evolutions of a single, non-rotating black hole in which we demonstrate that this new system yields a significant improvement in the life-time of the simulations.
Laguna Pablo
Shoemaker Deirdre
No associations
LandOfFree
Numerical stability of a new conformal-traceless 3+1 formulation of the Einstein equation 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 Numerical stability of a new conformal-traceless 3+1 formulation of the Einstein equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical stability of a new conformal-traceless 3+1 formulation of the Einstein equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-516326