Recent analytical and numerical techniques applied to the Einstein equations

Details Recent analytical and numerical techniques applied to the Einstein equations Recent analytical and numerical techniques applied to the Einstein equations

2004-12-13

arxiv.org/abs/gr-qc/0412062v1

Lect.Notes Phys. 692 (2006) 223-249

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Contribution to appear in the Proceedings of the March-2004 Heraeus Seminar in Bad Honnef (Eds D. Giulini, J. Frauendiener and

Scientific paper

Combining deeper insight of Einstein's equations with sophisticated numerical techniques promises the ability to construct accurate numerical implementations of these equations. We illustrate this in two examples, the numerical evolution of ``bubble'' and single black hole spacetimes. The former is chosen to demonstrate how accurate numerical solutions can answer open questions and even reveal unexpected phenomena. The latter illustrates some of the difficulties encountered in three-dimensional black hole simulations, and presents some possible remedies.

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