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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Bibliographic Details
Published inarXiv.org
Main Authors Husa, Sascha, Schneemann, Carsten, Vogel, Tilman, Zenginoglu, Anil
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 06.12.2005
Subjects
Evolution
Mathematical models
Maxwell's equations
Relativity
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0512033