Nonlinear wave equations for numerical relativity: towards the computation of gravitational wave forms of black hole binaries

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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3 pages LaTex (mprocl.sty). To appear in the proceedings of the Eighth Marcel Grossmann Conference on General Relativity (Jeru

Scientific paper

The prime candidate of LIGO/VIRGO sources of gravitational waves is the spiral in of black holes and neutron stars in compact binaries. While the early stages of the evolution of compact binaries is computable from post-Newtonian calculations, prediction of their late stages requires large scale numerical simulation. A fully covariant and strictly hyperbolic formulation for numerical relativity is described, and illustrated in a one-dimensional computation of a Gowdy-wave on the three-torus. This formulation allows foliations in full generality, in particular it poses no restriction on the lapse function.

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