The Initial-Boundary Value Problem in General Relativity

Abstract

In this article we summarize what is known about the initial-boundary value problem for general relativity and discuss present problems related to it.

11 pages, 2 figures. Contribution to a special volume for Mario Castagnino's seventy fifth birthday

References in corpus (7)

• Testing outer boundary treatments for the Einstein equations
• Towards absorbing outer boundaries in General Relativity
• Boundary conditions for coupled quasilinear wave equations with application to isolated systems
• Initial boundary value problems for Einstein's field equations and geometric uniqueness
• Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates
• Outer boundary conditions for Einstein's field equations in harmonic coordinates
• Geometrization of metric boundary data for Einstein's equations