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(CPhT, École Polytechnique)
Amphithéâtre Léon Motchane (IHES)
Amphithéâtre Léon Motchane
Le Bois Marie
35, route de Chartres
I will discuss the extension of Geroch's solution-generating method to the case of Einstein spaces. This will include the reduction to a three-dimensional coset space, the description of the dynamics in terms of a sigma-model and its transformation properties under the SL(2,R) group, and the reconstruction of new four-dimensional Einstein spaces. The detailed analysis of the space of solutions will be presented in a minisuperspace reduction, and will be performed using the Hamilton-Jacobi method. The cosmological constant will appear in this framework as a constant of motion.