Boundary conditions in unconstrained numerical relativity: Dynamical evolution of spherically symmetric black holes.

Details Boundary conditions in unconstrained numerical relativity: Dynamical evolution of spherically symmetric black holes. Boundary conditions in unconstrained numerical relativity: Dynamical evolution of spherically symmetric black holes.

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..apre12008c&link_type=abstract

American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As

Astronomy and Astrophysics

Astrophysics

Scientific paper

We present an implementation of boundary conditions consistent with the constraints' propagation in unconstrained numerical relativity. We consider spherically symmetric black hole spacetimes, for the case of a scalar field minimally coupled to the black hole, within the Einstein-Christoffel (EC) symmetric hyperbolic formulation of Einstein's equations. By carefully looking at the characteristic propagation of the main variables and constraints, we are able to single out the only two free modes at the outer boundary for this problem. Consequences for 3D numerical relativity are discussed.

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