Compact Einstein Spaces based on Quaternionic K\"ahler Manifolds
High Energy Physics - Theory
2009-11-10 v1 General Relativity and Quantum Cosmology
Abstract
We investigate the Einstein equation with a positive cosmological constant for -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.
Keywords
Cite
@article{arxiv.hep-th/0305231,
title = {Compact Einstein Spaces based on Quaternionic K\"ahler Manifolds},
author = {Mitsuo Hiragane and Yukinori Yasui and Hideki Ishihara},
journal= {arXiv preprint arXiv:hep-th/0305231},
year = {2009}
}
Comments
LaTeX 28 pages, 5 eps figures