eng
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Living Reviews in Relativity
1433-8351
2000-11-14
3
5
10.12942/lrr-2000-5
lrr-2000-5
article
Initial Data for Numerical Relativity
Gregory B. Cook
1
Department of Physics, Wake Forest University, Winston-Salem, North Carolina 27109-7507, U.S.A.
Initial data are the starting point for any numerical simulation. In the case of numerical relativity, Einstein's equations constrain our choices of these initial data. We will examine several of the formalisms used for specifying Cauchy initial data in the $3\!+\!1$ decomposition of Einstein's equations. We will then explore how these formalisms have been used in constructing initial data for spacetimes containing black holes and neutron stars. In the topics discussed, emphasis is placed on those issues that are important for obtaining astrophysically realistic initial data for compact binary coalescence.
http://www.livingreviews.org/lrr-2000-5
Numerical relativity
ADM formalism
Binary systems
Neutron stars
Initial value problem
Constraint equations
Black holes