Regge calculus and Ashtekar variables

Preprint

2 February 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9402004

Abstract

Spacetime discretized in simplexes, as proposed in the pioneer work of Regge, is described in terms of selfdual variables. In particular, we elucidate the "kinematic" structure of the initial value problem, in which 3--space is divided into flat tetrahedra, paying particular attention to the role played by the reality condition for the Ashtekar variables. An attempt is made to write down the vector and scalar constraints of the theory in a simple and potentially useful way.

Keywords

SPACETIME DISCRETIZED
INITIAL VALUE PROBLEM
VARIABLES SPACETIME
ASHTEKAR VARIABLES
REGGE CALCULUS
PIONEER WORK

All Related Versions

Version 1, 1994-02-02, ArXiv
Published version: Classical and Quantum Gravity, 11 (8), 1971.

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