Compact Einstein Spaces based on Quaternionic K\"ahler Manifolds

Mitsuo Hiragane; Yukinori Yasui; Hideki Ishihara

doi:10.1088/0264-9381/20/18/307

Compact Einstein Spaces based on Quaternionic K\"ahler Manifolds

高能物理 - 理论 2009-11-10 v1 广义相对论与量子宇宙学

作者: Mitsuo Hiragane , Yukinori Yasui , Hideki Ishihara

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摘要

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.

关键词

general relativity static spherically symmetric solutions in general relativity kaluza-klein theory

引用

@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}
}

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LaTeX 28 pages, 5 eps figures

Compact Einstein Spaces based on Quaternionic K\"ahler Manifolds

摘要

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