Towards a stable numerical evolution of strongly gravitating systems in general relativity: The conformal treatments
Por:
Alcubierre M., Brügmann B., Dramlitsch T., Font J.A., Papadopoulos P., Seidel E., Stergioulas N., Takahashi R.
Publicada:
1 ene 2000
Resumen:
We study the stability of three-dimensional numerical evolutions of the Einstein equations, comparing the standard ADM formulation to variations on a family of formulations that separate out the conformal and traceless parts of the system. We develop an implementation of the conformal-traceless (CT) approach that has improved stability properties in evolving weak and strong gravitational fields, and for both vacuum and spacetimes with active coupling to matter sources. Cases studied include weak and strong gravitational wave packets, black holes, boson stars and neutron stars. We show under what conditions the CT approach gives better results in 3D numerical evolutions compared to the ADM formulation. In particular, we show that our implementation of the CT approach gives more long term stable evolutions than ADM in all the cases studied, but is less accurate in the short term for the range of resolutions used in our 3D simulations. ©2000 The American Physical Society.
Filiaciones:
Alcubierre M.:
Max-Planck-Inst. F. G., Am Mühlenberg 1, D-14476 Golm, Germany
Brügmann B.:
Max-Planck-Inst. F. G., Am Mühlenberg 1, D-14476 Golm, Germany
Dramlitsch T.:
Max-Planck-Inst. F. G., Am Mühlenberg 1, D-14476 Golm, Germany
Font J.A.:
Max-Planck-Inst. F. Astrophysik, Karl-Schwarzschild-Str. 1, D-85740 Garching, Germany
Papadopoulos P.:
School of Computer Science and Maths, University of Portsmouth, Portsmouth PO1 2EG, United Kingdom
Seidel E.:
Max-Planck-Inst. F. G., Am Mühlenberg 1, D-14476 Golm, Germany
Natl. Ctr. Supercomputing Applic., Beckman Institute, 405 N. Mathews Ave., Urbana, IL 61801, United States
Stergioulas N.:
Max-Planck-Inst. F. G., Am Mühlenberg 1, D-14476 Golm, Germany
Department of Physics, Aristotle University of Thessaloniki, Thessaloniki 54006, Greece
Takahashi R.:
Max-Planck-Inst. F. G., Am Mühlenberg 1, D-14476 Golm, Germany
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