5: Modeling Black Holes
Boundary conditions
- Asymptotic flatness or that gij dij and Kij 0 at outer boundary. For model problem we use “Dirichlet conditions” or “blended boundary conditions” (later).
- Inner boundary: excised interior of Apparent Horizon minus a number of buffer zones (will clarify). There is no boundary condition here; “Boundary without boundary conditions”
We believe that for 1 hole we understand how to model the inner boundary "Boosted 3-dimensional Black-Hole Evolutions with Singularity Excision", w/ G.B. Cook et al., Phys. Rev Lett, Vol 80, Number 12 (1998).