Abstract
In this contribution we exhibit a new consistent group-manifold reduction of pure Einstein gravity in the vielbein formulation when the compactification group manifold is S3. The novel feature in the reduction is to consider the two 3-dimensional Lie algebras that S3 admits. We discuss the characteristics of the lower-dimensional theory and we emphasize the results generated by the new group-manifold reduction. As an application we show that the lower-dimensional theory admits a domain wall solution which upon uplifting to the higherdimension results to be the self-dual (in both curvature and spin connection) Kaluza-Klein monopole.
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