Null-strut calculus. II. Dynamics

Arkady Kheyfets, Norman J. LaFave, and Warner A. Miller
Phys. Rev. D 41, 3637 – Published 15 June 1990
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Abstract

In this paper, we continue from the preceding paper to develop a fully functional Regge calculus geometrodynamic algorithm from the null-strut-calculus construction. The developments discussed include (a) the identification of the Regge calculus analogue of the constraint and evolution equations on the null-strut lattice, (b) a description of the Minkowski solid geometry for the simplicial blocks of the null-strut lattice, (c) a description of the evolution algorithm for the geometrodynamic scheme and an analysis of its consistency, and (d) a presentation of the dynamical degrees of freedom for a simplicial hypersurface and the description of an initial-value prescription. To demonstrate qualitatively this new approach to geometrodynamics, we present the most simple application of null-strut calculus that we know of—the Friedmann cosmology using the three-boundary of a 600-cell simplicial polytope to model the simplicial hypersurface.

  • Received 6 October 1989

DOI:https://doi.org/10.1103/PhysRevD.41.3637

©1990 American Physical Society

Authors & Affiliations

Arkady Kheyfets*, Norman J. LaFave, and Warner A. Miller

  • Spacetime Physics Group, High Energy Plasma Division, Weapons Laboratory, Kirtland Air Force Base, Albuquerque, New Mexico 87117-6008

  • *Permanent address: Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695-8205.

See Also

Null-strut calculus. I. Kinematics

Arkady Kheyfets, Norman J. LaFave, and Warner A. Miller
Phys. Rev. D 41, 3628 (1990)

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Vol. 41, Iss. 12 — 15 June 1990

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