Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1996-08-30
Class.Quant.Grav. 14 (1997) 1753-1770
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Version 3. Adds current home address + slight corrections to references of version 2. Version 2 = substantially clarified form
Scientific paper
10.1088/0264-9381/14/7/012
An action for simplicial euclidean general relativity involving only left-handed fields is presented. The simplicial theory is shown to converge to continuum general relativity in the Plebanski formulation as the simplicial complex is refined. This contrasts with the Regge model for which Miller and Brewin have shown that the full field equations are much more restrictive than Einstein's in the continuum limit. The action and field equations of the proposed model are also significantly simpler then those of the Regge model when written directly in terms of their fundamental variables. An entirely analogous hypercubic lattice theory, which approximates Plebanski's form of general relativity is also presented.
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