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
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- U-Duality and the Compactified Gauss-Bonnet Term
- (2+1)-Dimensional Gravity in Weyl Integrable Spacetime
- Centrifugal deformations of the gravitational kink
- On the embedding of Weyl manifolds
- Cosmological Weyl-Einsteinian-Cubic Gravity as a Gauge Theory of Gravity
- Ricci linear Weyl/Maxwell mutual sourcing
- Mini-Superspace Universality and No-Scale Quantum Cosmology
- Conformal flatness, non-Abelian Kaluza-Klein and the Quaternions
- Homogeneous 4-dimensional Kaehler--Weyl Structures