Self-dual gravitational instantons and geometric flows of all Bianchi types
High Energy Physics - Theory
2015-05-30 v2
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.
Keywords
Cite
@article{arxiv.1108.0003,
title = {Self-dual gravitational instantons and geometric flows of all Bianchi types},
author = {P. M. Petropoulos and V. Pozzoli and K. Siampos},
journal= {arXiv preprint arXiv:1108.0003},
year = {2015}
}
Comments
Latex, 12 pages; Final version