G3-homogeneous gravitational instantons
High Energy Physics - Theory
2010-04-22 v3 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.0912.4848,
title = {G3-homogeneous gravitational instantons},
author = {F. Bourliot and J. Estes and P. M. Petropoulos and Ph. Spindel},
journal= {arXiv preprint arXiv:0912.4848},
year = {2010}
}
Comments
24 pages, few corrections