Note on ingoing coordinates for binary black holes

Details Note on ingoing coordinates for binary black holes Note on ingoing coordinates for binary black holes

2003-02-14

arxiv.org/abs/gr-qc/0302061v1

Phys.Rev. D67 (2003) 104006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, no figures

Scientific paper

10.1103/PhysRevD.67.104006

In a previous paper, a binary black hole four-metric was presented in a post-Newtonian corotating coordinate system valid only up to the holes' apparent horizons. In this paper, I define an ingoing coordinate transformation that extends this corotating coordinate system through the holes' horizons and into their interiors. The motivation for using ingoing coordinates is that numerical simulations of black holes require the computational grid to extend inside the horizons. The coordinate transformation presented here makes the binary black hole four-metric suitable as a source of initial data for numerical simulations.

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