Excision and avoiding the use of boundary conditions in numerical relativity

Abstract

A procedure for evolving hyperbolic systems of equations on compact computational domains with no boundary conditions was recently described in [arXiv:1905.08657]. In that proposal, the computational grid is expanded in spacelike directions with respect to the outermost characteristic and initial data is imposed on the expanded grid boundary. We discuss a related method that removes the need for imposing boundary conditions: the computational domain is excised along a direction spacelike with respect to the innermost going characteristic. We compare the two methods, and provide example evolutions from a code that implements the excision method: evolution of a massless self-gravitating scalar field in spherical symmetry.

19 pages, 9 figures, section added

References in corpus (2)

• Spherically Symmetric Black Hole Formation in Painlevé-Gullstrand Coordinates
• Excising das All: Evolving Maxwell waves beyond scri

Cited by in corpus (3)

• Scalarized Black Hole dynamics in Einstein dilaton Gauss-Bonnet Gravity
• Dynamical scalarization in Einstein-Maxwell-dilaton theory
• Type II critical collapse on a single fixed grid: a gauge-driven ingoing boundary method