Three-plus-one formulation of Regge calculus

Tsvi Piran and Ruth M. Williams
Phys. Rev. D 33, 1622 – Published 15 March 1986
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Abstract

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.

  • Received 12 November 1985

DOI:https://doi.org/10.1103/PhysRevD.33.1622

©1986 American Physical Society

Authors & Affiliations

Tsvi Piran

  • Racah Institute of Physics, Hebrew University, Jerusalem, Israel and Institute for Advanced Study, Princeton, New Jersey 08540

Ruth M. Williams

  • Girton College, Cambridge CB3 0JG United Kingdom and Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW United Kingdom

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Issue

Vol. 33, Iss. 6 — 15 March 1986

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