Einstein metrics onS 3,R 3 andR 4 bundles |
| |
| Authors: | G. W. Gibbons D. N. Page C. N. Pope |
| |
| Affiliation: | (1) Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, CB3 9EW Cambridge, UK;(2) Department of Physics, The Pennsylvania State University, 16802 University Park, PA, USA;(3) Center for Theoretical Physics, Department of Physics, Texas A&M University, 77843 College Station, TX, USA |
| |
| Abstract: | Starting from a 4n-dimensional quaternionic Kähler base space, we construct metrics of cohomogeneity one in (4n+3) dimensions whose level surfaces are theS2 bundle space of almost complex structures on the base manifold. We derive the conditions on the metric functions that follow from imposing the Einstein equation, and obtain solutions both for compact and non-compact (4n+3)-dimensional spaces. Included in the non-compact solutions are two Ricci-flat 7-dimensional metrics withG2 holonomy. We also discuss two other Ricci-flat solutions, one on theR4 bundle overS3 and the other on anR4 bundle overS4. These haveG2 and Spin(7) holonomy respectively. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
