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arXiv · 0704.0149

Construction of initial data for 3+1 numerical relativity

Eric Gourgoulhon
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Abstract

This lecture is devoted to the problem of computing initial data for the Cauchy problem of 3+1 general relativity. The main task is to solve the constraint equations. The conformal technique, introduced by Lichnerowicz and enhanced by York, is presented. Two standard methods, the conformal transverse-traceless one and the conformal thin sandwich, are discussed and illustrated by some simple examples. Finally a short review regarding initial data for binary systems (black holes and neutron stars) is given.

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Eric Gourgoulhon. 2007-11-07. Construction of initial data for 3+1 numerical relativity. https://doi.org/10.1088/1742-6596/91/1/012001

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