Initial data in general relativity
= Initial data in general relativity
= Initial data
{synonym}
Gravitational <initial data> on a spatial manifold consist of a <Riemannian metric> $h$ and an <extrinsic curvature> $K$ satisfying the <Hamiltonian constraint> and <momentum constraint>. Matter theories require their own data and constraints as well. The data determine a <maximal Cauchy development>.