Phys. Rev. D 33, 1622–1633 (1986)Three-plus-one formulation of Regge calculusReceived 12 November 1985; published in the issue dated 15 March 1986 Following the work of Lund and Regge for homogeneous spaces, we construct the action for Regge calculus in its three-plus-one form for general space-times. This is achieved in two ways: a first-order formalism and a second-order formalism. We describe the Regge-calculus analogue of solving the initial-value equations using conformal transformations. The second-order formalism is used to study the time development of two simple model universes. © 1986 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.33.1622
DOI:
10.1103/PhysRevD.33.1622
PACS:
04.20.Fy, 04.60.+n, 04.90.+e
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