Hyperboloidal data and evolution

Details Hyperboloidal data and evolution Hyperboloidal data and evolution

2005-12-06

arxiv.org/abs/gr-qc/0512033v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1063/1.2218186

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.

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