Canonical structure of 3D gravity with torsion

Details Canonical structure of 3D gravity with torsion Canonical structure of 3D gravity with torsion

2004-12-30

arxiv.org/abs/gr-qc/0412134v1

Trends in GR and QC, vol. 2, ed. Ch. Benton (Nova Science, NY, 2006) 103-123

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 21 pages

Scientific paper

We study the canonical structure of the topological 3D gravity with torsion, assuming the anti-de Sitter asymptotic conditions. It is shown that the Poisson bracket algebra of the canonical generators has the form of two independent Virasoro algebras with classical central charges. In contrast to the case of general relativity with a cosmological constant, the values of the central charges are different from each other.

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