Einstein-Weyl from Kaluza-Klein
arXiv:0711.0181 · doi:10.1016/j.physleta.2007.12.014
Abstract
We discuss the Kaluza-Klein reduction of spaces with (anti-)self-dual Weyl tensor and point out the emergence of the Einstein-Weyl equations for the reduction from four to three dimensions. As a byproduct we get a simple expression for the gravitational instanton density in terms of the Kaluza-Klein functions.
11 pages, v2: updated Refs., minor changes