Basic HTML version of Foils prepared 15 March 1996

Foil 13 CPS713 Case Study II) Computational Features of Numerical Relativity (Contd) -- Black Hole Boundary Condition

From Overview of Monte Carlo Case Study CPSP713 -- Autumn Semester 1994. by Geoffrey C. Fox, Paul Coddington


1 Boundary conditions at Black Holes involve physics and numerics
2 Certainly finite difference mesh needs some sort of special treatment
3 Physics says that any information inside black hole is irrelevant
  • It cannot get out and so cannot affect solution outside hole
4 However we don't know where Black Hole is until we get full solution!
5 This issue is "Show-Stopper". It may be that difficulties in this area will prevent reliable solutions without a major algorithmic breakthrough or new physics insight
  • Other NR issues are hard but no reason why we shouldn't solve reasonably well

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