Null-strut calculus. II. Dynamics
- 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), Vol. 41:12; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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GENERAL PHYSICS
GENERAL RELATIVITY THEORY
REGGE CALCULUS
ALGORITHMS
ASTROPHYSICS
EINSTEIN FIELD EQUATIONS
FINITE ELEMENT METHOD
FOUR-DIMENSIONAL CALCULATIONS
LATTICE FIELD THEORY
MINKOWSKI SPACE
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
MATHEMATICAL LOGIC
MATHEMATICAL SPACE
NUMERICAL SOLUTION
QUANTUM FIELD THEORY
SPACE
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation