Einstein-Weyl from Kaluza-Klein
Mathematical Physics
2008-11-26 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.0711.0181,
title = {Einstein-Weyl from Kaluza-Klein},
author = {D. Grumiller and R. Jackiw},
journal= {arXiv preprint arXiv:0711.0181},
year = {2008}
}
Comments
11 pages, v2: updated Refs., minor changes