Compact Einstein spaces based on quaternionic Kähler manifolds
Mitsuo Hiragane; Yukinori Yasui; Hideki Ishihara; Mitsuo Hiragane; Department of Physics, Osaka City University, Sumiyoshi-ku, Osaka, 558-8585, Japan; Yukinori Yasui; Department of Physics, Osaka City University, Sumiyoshi-ku, Osaka, 558-8585, Japan; Hideki Ishihara; Department of Physics, Osaka City University, Sumiyoshi-ku, Osaka, 558-8585, Japan
Журнал:
Classical and Quantum Gravity
Дата:
2003-09-21
Аннотация:
We investigate the Einstein equation with a positive cosmological constant for (4n + 4)-dimensional metrics on bundles over quaternionic Kähler base manifolds whose fibres are four-dimensional Bianchi IX manifolds. The Einstein equations are reduced to a set of nonlinear ordinary differential equations. We numerically find inhomogeneous compact Einstein spaces with orbifold singularity.
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