Einstein–Weyl from Kaluza–Klein

2007/11/30 by Daniel Grumiller, D. Grumiller, R. Jackiw · 2 citations
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Relativity and Gravitational Theory #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/j.physleta.2007.12.014

published as Phys.Lett.A372:2547-2551,2008 · 11 pages, v2: updated Refs., minor changes

openalex publication_date 2008/01/02 · arxiv created 2008/01/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• How do black holes spin in Chern-Simons modified gravity?
• Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces

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