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
Main Authors Husa, Sascha, Schneemann, Carsten, Vogel, Tilman, Zenginoglu, Anil
Format Journal Article
LanguageEnglish
Published 06.12.2005
Subjects
Physics - General Relativity and Quantum Cosmology
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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.
Bibliography:AEI-2005-183
DOI:10.48550/arxiv.gr-qc/0512033