Hyperboloidal data and evolution
General Relativity and Quantum Cosmology
2009-11-11 v1
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.
Keywords
Cite
@article{arxiv.gr-qc/0512033,
title = {Hyperboloidal data and evolution},
author = {Sascha Husa and Carsten Schneemann and Tilman Vogel and Anil Zenginoglu},
journal= {arXiv preprint arXiv:gr-qc/0512033},
year = {2009}
}
Comments
11 pages, 9 figures. To appear in the Proceedings of the Spanish Relativity Meeting (ERE 2005), Oviedo, Spain, 6-10 Sept 2005