Workshop From geometry to numerics
IHP, Paris, 20-24 November 2006

Lee Lindblom (CalTech, USA)

Generalized Harmonic Evolutions of Binary Black Hole Spacetimes

This talk will describe the generalized harmonic representation of general relativity, and its recent use in numerical simulations of binary black hole spacetimes.  This general form of Einstein's equation is manifestly hyperbolic, and can be modified in a simple way that gives it excellent constraint damping properties.  Several recent developments useful for numerical simulations will be discussed, including the dual-coordinate frame method and the use of feedback control systems to adjust black hole excision boundaries.  The latest binary black hole evolutions based on these methods will be presented.

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