New Infinite Series of Einstein Metrics on Sphere Bundles from AdS Black Holes

Details New Infinite Series of Einstein Metrics on Sphere Bundles from AdS Black Holes New Infinite Series of Einstein Metrics on Sphere Bundles from AdS Black Holes

2004-02-25

arxiv.org/abs/hep-th/0402199v2

Commun.Math.Phys. 257 (2005) 273-285

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, remarks and minor corrections added

Scientific paper

10.1007/s00220-004-1225-1

A new infinite series of Einstein metrics is constructed explicitly on S^2 x S^3, and the non-trivial S^3-bundle over S^2, containing infinite numbers of inhomogeneous ones. They appear as a certain limit of a nearly extreme 5-dimensional AdS Kerr black hole. In the special case, the metrics reduce to the homogeneous Einstein metrics studied by Wang and Ziller. We also construct an inhomogeneous Einstein metric on the non-trivial S^{d-2}-bundle over S^2 from a d-dimensional AdS Kerr black hole. Our construction is a higher dimensional version of the method of Page, which gave an inhomogeneous Einstein metric on CP^2\sharp\bar{CP^2}.

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