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Phys. Rev. D 12, 385–396 (1975)

Time-evolution problem in regge calculus

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Rafael Sorkin
California Institute of Technology, Pasadena, California 91109

See Also: Erratum

Received 30 September 1974; published in the issue dated 15 July 1975

The simplectic approximation to Einstein's equations ("Regge calculus") is derived by considering the net to be actually a (singular) Riemannian manifold. Specific nets for open and closed spaces are introduced in terms of which one can formulate the general time-evolution problem, which thereby reduces to the repeated solution of finite sets of coupled nonlinear (algebraic) equations. The initial-value problem is also formulated in simplectic terms.

© 1975 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.12.385
DOI:
10.1103/PhysRevD.12.385
PACS:

See Also

Erratum: Rafael Sorkin, Erratum: Time-evolution problem in Regge calculus, Phys. Rev. D 23, 565 (1981).