Conceptual Issues in Numerical Relativity
Joerg Frauendiener
(University of Otago, Dunedin, NZ)
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Numerical relativity has seen a great development in the previous five years. In particular, the binary black hole problem has been treated in a quite remarkable and satisfactory way. This talk will present some of the methods used and the results achieved. Furthermore, there will be a discussion of the tacit assumptions underlying the mathematical model of the physical situation and their consequences in the numerical treatment. It turns out that asymptotic flatness imposes a condition, which is very difficult to implement numerically. Some possible alternatives are discussed.