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Phys. Rev. Lett. 61, 2042–2045 (1988)

Null-Strut Calculus: The First Test

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Arkady Kheyfets1, Warner A. Miller2, and John A. Wheeler3
1Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695-8205
2Advanced Concepts Branch, Air Force Weapons Laboratory, Kirtland Air Force Base, New Mexico 87117
3Physics Departments, The University of Texas, Austin, Texas 78712
Princeton University, Princeton, New Jersey 08544

Received 13 June 1988; published in the issue dated 31 October 1988

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.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.61.2042
DOI:
10.1103/PhysRevLett.61.2042
PACS:
04.20.Jb, 04.20.Cv, 04.20.Me