Basic HTML version of Foils prepared Jan 31 99

Foil 13 3:ADM 3+1 form (cont.)

From Overview of BBH Simulations Physics Colloquium -- Oct 29 1998. by Scott Klasky
1 The extrinsic curvature is a spacelike object which determines the contraction and shear of the normals to the hypersurface.
2 We can rewrite the ADM equations as:
  • ¶t gij = Lb gij - 2 a Kij
  • ¶t Kij = Lb Kij - Di Dj a + a(Rij + K Kij -2Kli Klj
  • where Lb Kij = bk ¶kKij + Kkj ¶i bk + Kik ¶jbk
3 Causal Differencing:
  • Before we describe causal differencing, a key ingredient for the evolution of black holes, we must state the desired properties of a black hole evolution scheme.
in Table To:

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