Construction of initial data for 3+1 numerical relativity

Details Construction of initial data for 3+1 numerical relativity Construction of initial data for 3+1 numerical relativity

2007-04-02

arxiv.org/abs/0704.0149v2

J.Phys.Conf.Ser.91:012001,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Minor modifications, updated references, 28 pages, 5 figures, contribution to the Proceedings of the VII Mexican School on Gra

Scientific paper

10.1088/1742-6596/91/1/012001

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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