The classical solutions of the dimensionally reduced gravitational Chern-Simons theory |
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Authors: | D Grumiller W Kummer |
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Institution: | Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstr. 8-10, Wien A-1040, Austria |
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Abstract: | The Kaluza-Klein reduction of the 3d gravitational Chern-Simons term to a 2d theory is equivalent to a Poisson-sigma model with 4d 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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