# The Geroch group in Einstein spaces

@article{Leigh2014TheGG, title={The Geroch group in Einstein spaces}, author={Robert G. Leigh and Anastasios C. Petkou and P Marios Petropoulos and Prasanta Kumar Tripathy}, journal={Classical and Quantum Gravity}, year={2014}, volume={31} }

Gerochʼs solution-generating method is extended to the case of Einstein spaces, which possess a Killing vector and are thus asymptotically (locally) (anti) de Sitter. This includes 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 is performed using the Hamilton…

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