New Inhomogeneous Einstein Metrics on Sphere Bundles Over Einstein-Kahler Manifolds

Abstract

We construct new complete, compact, inhomogeneous Einstein metrics on S^{m+2} sphere bundles over 2n-dimensional Einstein-Kahler spaces K_{2n}, for all n \ge 1 and all m \ge 1. We also obtain complete, compact, inhomogeneous Einstein metrics on warped products of S^m with S^2 bundles over K_{2n}, for m>1. Additionally, we construct new complete, non-compact Ricci-flat metrics with topologies S^m times R^2 bundles over K_{2n} that generalise the higher-dimensional Taub-BOLT metrics, and with topologies S^m \times R^{2n+2} that generalise the higher-dimensional Taub-NUT metrics, again for m>1.

Latex, 14 pages. Errors and typos corrected, and related references added

References in corpus (3)

• Rotation and the AdS/CFT correspondence
• New Complete Non-compact Spin(7) Manifolds
• New Infinite Series of Einstein Metrics on Sphere Bundles from AdS Black Holes

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