2003/06/04 by D. Grumiller, W. Kummer · 1 citation
Physics and Astronomy · #hep-th #gr-qc
paper · pdf · doi:10.1016/s0003-4916(03)00138-6
published as Annals Phys. 308 (2003) 211-221 · 12 pages, 9 figures
arxiv created 2003/06/04 · arxiv updated 2009/11/30
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.