Discrete structures in gravity

Details Discrete structures in gravity Discrete structures in gravity

2000-12-09

arxiv.org/abs/gr-qc/0012035v1

J.Math.Phys.41:3964-3984,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

30 pages, 4 figures

Scientific paper

10.1063/1.533333

Discrete approaches to gravity, both classical and quantum, are reviewed briefly, with emphasis on the method using piecewise-linear spaces. Models of 3-dimensional quantum gravity involving 6j-symbols are then described, and progress in generalising these models to four dimensions is discussed, as is the relationship of these models in both three and four dimensions to topological theories. Finally, the repercussions of the generalisations are explored for the original formulation of discrete gravity using edge-length variables.

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