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D. Grumiller, R. Jackiw:
"Einstein-Weyl from Kaluza-Klein";
Physics Letters A, 372 (2008), 2547 - 2551.

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.

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.

http://dx.doi.org/10.1016/j.physleta.2007.12.014

http://publik.tuwien.ac.at/files/PubDat_170143.pdf

Project Head Anton Rebhan:
Gravitation, Chern-Simons Erweiterungen, Topologie und Anwendungen in der Festkörperphysik