# Construction of initial data for 3+1 numerical relativity

@inproceedings{Gourgoulhon2007ConstructionOI, title={Construction of initial data for 3+1 numerical relativity}, author={Eric Gourgoulhon}, year={2007} }

- Published 2007
DOI: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… CONTINUE READING

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 117 REFERENCES

## The Constraint Equations, in The Einstein Equations and the Large Scale Behavior of Gravitational Fields — 50 years of the Cauchy Problem in General Relativity, edited by P.T

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

## Accurate and realistic initial data for black hole-neutron star binaries

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## Multi-Domain Spectral Method for Initial Data of Arbitrary Binaries in General Relativity

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

## Relativistic formalism for computation of irrotational binary stars in quasiequilibrium states

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## N

VIEW 10 EXCERPTS

HIGHLY INFLUENTIAL

## Formalism and Bases of Numerical Relativity, lectures at Institut Henri Poincaré (Paris, Sept.-Dec

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## and M

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## Extrinsic curvature and the Einstein constraints

VIEW 8 EXCERPTS

HIGHLY INFLUENTIAL

## and S

VIEW 7 EXCERPTS

HIGHLY INFLUENTIAL

## Initial Data for Numerical Relativity

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL