Solving Einstein's Equations the Generalized Harmonic Way
Solving Einstein's Equations the Generalized Harmonic Way
Solving Einstein's Equations the Generalized Harmonic Way
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<strong>Generalized</strong> <strong>Harmonic</strong> Evolution System<br />
Frans Pretorius wrote a very nice second order finite difference<br />
AMR code to solve <strong>the</strong> generalized harmonic Einstein equations:<br />
0 = R ab − ∇ (a Γ b) − ∇ (a H b) ,<br />
= R ab − ∇ (a C b) ,<br />
where C a = H a + Γ a . Unfortunately initial code was very unstable.<br />
Lee Lindblom (Caltech) GH Einstein CCRG-RIT – 10/17/2008 9 / 34