Basic HTML version of Foils prepared 15 March 1996

Foil 24 Linearization of Time Evolution Equations for q ij

From Numerical Formulation and Solution of Collision 0f two Black Holes CPSP713 Case studies in Computational Science -- Spring Semester 1996. by Geoffrey C. Fox
1 When Solving a second order time evolution equation such as
2 One typically converts this to a pair of first order in time equations by transformation:
3 We perform the analogous step in general relativity, introducing a new symmetric matrix K ij which is called the extrinsic curvature and related to but not exactly equal to single time derivative of q ij
in Table To:

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