Null-strut calculus - The first test

Statistics – Computation

Scientific paper

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Computational Astrophysics, Cosmology, Einstein Equations, Null Zones, Regge Poles, Relativistic Theory, Astronomical Models, Energy Conservation, Finite Difference Theory, Space-Time Functions, Universe

Scientific paper

Null-strut calculus (NSC), a version of Regge (1961) calculus which makes maximal use of light rays, is used to solve Einstein's field equations. It is demonstrated that NSC reproduces the Kasner universe with stability and high accuracy. NSC is shown to conserve energy to a degree comparable to the standard finite difference method and to be free of the Courant instability (Richmyer and Morton, 1967). Both the dynamics and the manufacture of the initial-value data are reproduced by the theory, in full conformity with the York initial-value prescription.

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