Anti-de Sitter 3-dimensional Gravity with Torsion

Details Anti-de Sitter 3-dimensional Gravity with Torsion Anti-de Sitter 3-dimensional Gravity with Torsion

2004-12-15

arxiv.org/abs/gr-qc/0412072v1

Mod.Phys.Lett. A20 (2005) 1285

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 13 pages, no figures

Scientific paper

10.1142/S0217732305017755

Using the canonical formalism, we study the asymptotic symmetries of the topological 3-dimensional gravity with torsion. In the anti-de Sitter sector, the symmetries are realized by two independent Virasoro algebras with classical central charges. In the simple case of the teleparallel vacuum geometry, the central charges are equal to each other and have the same value as in general relativity, while in the general Riemann-Cartan geometry, they become different.

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