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

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

Publishing date

2004-03-08

URL

arxiv.org/abs/hep-th/0403079v2

Journals

Phys.Lett.B593:218-226,2004

Science

Physics

Field

High Energy Physics

SubField

High Energy Physics - Theory

Additional info

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

Type

Scientific paper

Digital Object Identifier

10.1016/j.physletb.2004.04.068

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.

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