Empirical Inference Article 2002

Numerical evolution of axisymmetric, isolated systems in general relativity

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Empirical Inference

We describe in this article a new code for evolving axisymmetric isolated systems in general relativity. Such systems are described by asymptotically flat space-times, which have the property that they admit a conformal extension. We are working directly in the extended conformal manifold and solve numerically Friedrich's conformal field equations, which state that Einstein's equations hold in the physical space-time. Because of the compactness of the conformal space-time the entire space-time can be calculated on a finite numerical grid. We describe in detail the numerical scheme, especially the treatment of the axisymmetry and the boundary.

Author(s): Frauendiener, J. and Hein, M.
Links:
Journal: Physical Review D
Volume: 66
Pages: 124004-124004
Year: 2002
Day: 0
Bibtex Type: Article (article)
Digital: 0
Electronic Archiving: grant_archive
Organization: Max-Planck-Gesellschaft
School: Biologische Kybernetik

BibTex

@article{1935,
  title = {Numerical evolution of axisymmetric, isolated 
  systems in general relativity},
  journal = {Physical Review D},
  abstract = {We describe in this article a new code for evolving
  axisymmetric isolated systems in general relativity. Such systems are described by asymptotically flat space-times, which have the property that they admit a conformal extension. We are working directly in the extended conformal manifold and solve numerically Friedrich's conformal field equations, which state that Einstein's equations hold in the physical space-time. Because of the compactness of the conformal space-time the entire space-time can be calculated on a finite numerical grid. We describe in detail the numerical scheme, especially the treatment of the axisymmetry and the boundary.},
  volume = {66},
  pages = {124004-124004},
  organization = {Max-Planck-Gesellschaft},
  school = {Biologische Kybernetik},
  year = {2002},
  slug = {1935},
  author = {Frauendiener, J. and Hein, M.}
}