Compact Einstein Spaces based on Quaternionic Kähler Manifolds

Details Compact Einstein Spaces based on Quaternionic Kähler Manifolds Compact Einstein Spaces based on Quaternionic Kähler Manifolds

2003-05-27

arxiv.org/abs/hep-th/0305231v1

Class.Quant.Grav. 20 (2003) 3933-3950

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 28 pages, 5 eps figures

Scientific paper

10.1088/0264-9381/20/18/307

We investigate the Einstein equation with a positive cosmological constant for $4n+4$-dimensional metrics on bundles over Quaternionic K\"ahler base manifolds whose fibers are 4-dimensional Bianchi IX manifolds. The Einstein equations are reduced to a set of non-linear ordinary differential equations. We numerically find inhomogeneous compact Einstein spaces with orbifold singularity.

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