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Phys. Rev. D 41, 3628–3636 (1990)

Null-strut calculus. I. Kinematics

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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

Received 6 October 1989; published in the issue dated 15 June 1990

This paper describes the kinematics of null-strut calculus—a 3+1 Regge calculus approach to general relativity. We show how to model the geometry of spacetime with simplicial spacelike three-geometries (TET's) linked to "earlier" and "later" momentumlike lattice surfaces (TET*) entirely by light rays or "null struts." These three-layered lattice spacetime geometries are defined and analyzed using combinatorial formulas for the structure of polytopes. The following paper in this series describes how these three-layered spacetime lattices are used to model spacetimes in full conformity with Einstein's theory of gravity.

© 1990 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.41.3628
DOI:
10.1103/PhysRevD.41.3628
PACS:

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

See Also

See Also: Arkady Kheyfets, Norman J. LaFave, and Warner A. Miller, Null-strut calculus. II. Dynamics, Phys. Rev. D 41, 3637 (1990).