Null-strut calculus. II. Dynamics

Journal Article · Fri Jun 15 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.3637· OSTI ID:6734379

Kheyfets, A; LaFave, N J; Miller, W A ^[1]

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1. Spacetime Physics Group, High Energy Plasma Division, Weapons Laboratory, Kirtland Air Force Base, Albuquerque, New Mexico 87117-6008 (USA)

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.

• OSTI ID: 6734379
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:12; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
ASTROPHYSICS
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FINITE ELEMENT METHOD
FOUR-DIMENSIONAL CALCULATIONS
GENERAL RELATIVITY THEORY
LATTICE FIELD THEORY
MATHEMATICAL LOGIC
MATHEMATICAL SPACE
MINKOWSKI SPACE
NUMERICAL SOLUTION
QUANTUM FIELD THEORY
REGGE CALCULUS
SPACE