Session R8 - Focus Session: Numerical Relativity I.
FOCUS session, Monday afternoon, April 07
Regency Ballroom C2, Loews Philadelphia Hotel
Numerical evolutions of black holes and other spacetimes typically suffer from constraint violating modes that grow without bound. Here we numerically study the influence on these modes of the fact that standard boundary conditions in numerical relativity are inconsistent with the constraints. More specifically, we numerically study the evolution of the constraints itself, as a set of symmetric hyperbolic equations, when linearized around a 3D Schwarzschild black hole. The goal of these studies is to determine whether constraint-preserving boundary conditions would improve the stability of unconstrained numerical evolutions.