Hyperboloidal data and evolution

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.

11 pages, 9 figures. To appear in the Proceedings of the Spanish Relativity Meeting (ERE 2005), Oviedo, Spain, 6-10 Sept 2005

References in corpus (1)

• Asymptotically Flat Initial Data for Gravitational Wave Spacetimes, Conformal Compactification and Conformal Symmetry

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