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arXiv · 1108.0003

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

P. M. Petropoulos·V. Pozzoli·K. Siampos
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Abstract

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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P. M. Petropoulos, V. Pozzoli, K. Siampos. 2011-11-04. Self-dual gravitational instantons and geometric flows of all Bianchi types. https://doi.org/10.1088/0264-9381%2F28%2F24%2F245004

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