New inhomogeneous Einstein metrics on sphere bundles over Einstein-Kahler manifolds

abstract

• We construct new complete, compact, inhomogeneous Einstein metrics on Sm+2 sphere bundles over 2n-dimensional Einstein-Khler spaces K2n, for all n1 and all m1. We also obtain complete, compact, inhomogeneous Einstein metrics on warped products of Sm with S 2 bundles over K2n, for m>1. Additionally, we construct new complete, non-compact Ricci-flat metrics with topologies Sm times R2 bundles over K2n that generalise the higher-dimensional Taub-BOLT metrics, and with topologies Sm R2n+2 that generalise the higher-dimensional Taub-NUT metrics, again for m>1. 2004 Published by Elsevier B.V.

authors

• Pope, Christopher

published proceedings

• PHYSICS LETTERS B

author list (cited authors)

• Lu, H., Page, D. N., & Pope, C. N.

citation count

• 48

publication date

• July 2004

publisher

• Elsevier  Publisher

published in

• Physics Letters B  Journal

Digital Object Identifier (DOI)

• 10.1016/j.physletb.2004.04.068

start page

• 218

end page

• 226

volume

• 593

issue

• 1-4

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.physletb.2004.04.068