Regge calculus and Ashtekar variables

Details Regge calculus and Ashtekar variables Regge calculus and Ashtekar variables

1994-02-02

arxiv.org/abs/gr-qc/9402004v1

Class.Quant.Grav.11:1971-1980,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, uses harvmac. DFUPG 83/94

Scientific paper

10.1088/0264-9381/11/8/005

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.

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