Three-plus-one formulation of Regge calculus

Tsvi Piran*, Ruth M. Williams

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

61 Scopus citations

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.

Original languageEnglish
Pages (from-to)1622-1633
Number of pages12
JournalPhysical Review D
Volume33
Issue number6
DOIs
StatePublished - 1986

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