The Classical Solutions of the Dimensionally Reduced Gravitational Chern-Simons Theory

Details The Classical Solutions of the Dimensionally Reduced Gravitational Chern-Simons Theory The Classical Solutions of the Dimensionally Reduced Gravitational Chern-Simons Theory

2003-06-04

arxiv.org/abs/hep-th/0306036v1

Annals Phys. 308 (2003) 211-221

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 9 figures

Scientific paper

10.1016/S0003-4916(03)00138-6

The Kaluza-Klein reduction of the 3d gravitational Chern-Simons term to a 2d theory is equivalent to a Poisson-sigma model with fourdimensional target space and degenerate Poisson tensor of rank 2. Thus two constants of motion (Casimir functions) exist, namely charge and energy. The application of well-known methods developed in the framework of first order gravity allows to construct all classical solutions straightforwardly and to discuss their global structure. For a certain fine tuning of the values of the constants of motion the solutions of hep-th/0305117 are reproduced. Possible generalizations are pointed out.

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