Abstract
1
Introduction
1.1
Conventions
2
The Initial-Value Equations
2.1
Initial Data
2.2
York-Lichnerowicz Conformal Decompositions
2.3
Conformal Thin-Sandwich Decomposition
2.4
Stationary Solutions
3
Black Hole Initial Data
3.1
Classic Solutions
3.2
General Multi-Hole Solutions
3.3
Horizon-Penetrating Solutions
3.4
Quasicircular Binary Data
4
Neutron-Star Initial Data
4.1
Hydrostatic Equilibrium
4.2
Isolated Neutron Stars
4.3
Neutron-Star Binaries
5
Acknowledgments
References