Self-dual gravitational instantons and geometric flows of all Bianchi types

Details Self-dual gravitational instantons and geometric flows of all Bianchi types Self-dual gravitational instantons and geometric flows of all Bianchi types

2011-07-29

arxiv.org/abs/1108.0003v2

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 12 pages; Final version

Scientific paper

We investigate four-dimensional, self-dual gravitational instantons endowed with a product structure RxM_3, where M_3 is homogeneous of Bianchi type. We analyze the general conditions under which Euclidean-time evolution in the gravitational instanton can be identified with a geometric flow of a metric on M_3. This includes both unimodular and non-unimodular groups, and the corresponding geometric flow is a general Ricci plus Yang-Mills flow accompanied by a diffeomorphism.

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