Null-Strut Calculus: The First Test

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Abstract
We solve Einstein's field equation via null-strut calculus (NSC). This working version of Regge calculus makes maximal use of light rays. We model the Kasner universe—prototype of the Belinsky-Khalatnikov-Lifshitz mixmaster oscillation generic to all crunch cosmologies. We demonstrate that in evolution NSC (1) conserves energy to a degree comparable to the standard finite difference method, and (2) is free of the Courant instability. NSC handles successfully both the dynamics and the manufacture of the initial-value data, in full conformity with the York initial-value prescription.

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