Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-11-25
Class.Quant.Grav. 22 (2005) 3363-3380
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, no figures
Scientific paper
10.1088/0264-9381/22/16/015
We consider a topological field theory derived from the Chern - Simons action in (2+1) dimensions with the I(ISO(2,1)) group,and we investigate in detail the canonical structure of this theory.Originally developed as a topological theory of Einstein gravity minimally coupled to topological matter fields in (2+1) dimensions, it admits a BTZ black-hole solutions, and can be generalized to arbitrary dimensions.In this paper, we further study the canonical structure of the theory in (2+1) dimensions, by identifying all the distinct gauge equivalence classes of solutions as they result from holonomy considerations. The equivalence classes are discussed in detail, and examples of solutions representative of each class are constructed or identified.
Freidel Laurent
Mann Robert B.
Popescu Eugeniu M.
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