Three-plus-one formulation of Regge calculus

Details Three-plus-one formulation of Regge calculus Three-plus-one formulation of Regge calculus

Mar 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..33.1622p&link_type=abstract

Physical Review D (Particles and Fields), Volume 33, Issue 6, 15 March 1986, pp.1622-1633

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56

Canonical Formalism, Lagrangians, And Variational Principles, Other Topics In General Relativity And Gravitation

Scientific paper

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.

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