G3-homogeneous gravitational instantons

Details G3-homogeneous gravitational instantons G3-homogeneous gravitational instantons

2009-12-24

arxiv.org/abs/0912.4848v3

Class.Quant.Grav.27:105007,2010

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, few corrections

Scientific paper

10.1088/0264-9381/27/10/105007

We provide an exhaustive classification of self-dual four-dimensional gravitational instantons foliated with three-dimensional homogeneous spaces, i.e. homogeneous self-dual metrics on four-dimensional Euclidean spaces admitting a Bianchi simply transitive isometry group. The classification pattern is based on the algebra homomorphisms relating the Bianchi group and the duality group SO(3). New and general solutions are found for Bianchi III.

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