Hyperboloidal data and evolution

We discuss the hyperboloidal evolution problem in general relativity from a numerical perspective, and present some new results. Families of initial data which are the hyperboloidal analogue of Brill waves are constructed numerically, and a systematic search for apparent horizons is performed. Schwa...

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Main Authors Husa, Sascha, Schneemann, Carsten, Vogel, Tilman, Zenginoglu, Anil
Format Journal Article
LanguageEnglish
Published 06.12.2005
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Abstract We discuss the hyperboloidal evolution problem in general relativity from a numerical perspective, and present some new results. Families of initial data which are the hyperboloidal analogue of Brill waves are constructed numerically, and a systematic search for apparent horizons is performed. Schwarzschild-Kruskal spacetime is discussed as a first application of Friedrich's general conformal field equations in spherical symmetry, and the Maxwell equations are discussed on a nontrivial background as a toy model for continuum instabilities.
AbstractList We discuss the hyperboloidal evolution problem in general relativity from a numerical perspective, and present some new results. Families of initial data which are the hyperboloidal analogue of Brill waves are constructed numerically, and a systematic search for apparent horizons is performed. Schwarzschild-Kruskal spacetime is discussed as a first application of Friedrich's general conformal field equations in spherical symmetry, and the Maxwell equations are discussed on a nontrivial background as a toy model for continuum instabilities.
Author Zenginoglu, Anil
Schneemann, Carsten
Husa, Sascha
Vogel, Tilman
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BackLink https://doi.org/10.1063/1.2218186$$DView published paper (Access to full text may be restricted)
https://doi.org/10.48550/arXiv.gr-qc/0512033$$DView paper in arXiv
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Snippet We discuss the hyperboloidal evolution problem in general relativity from a numerical perspective, and present some new results. Families of initial data which...
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Title Hyperboloidal data and evolution
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