New Infinite Series of Einstein Metrics on Sphere Bundles from AdS Black Holes
Abstract
A new infinite series of Einstein metrics is constructed explicitly on S^{2}×S^{3}, and the nontrivial S^{3}bundle over S^{2}, containing infinite numbers of inhomogeneous ones. They appear as a certain limit of 5dimensional AdS Kerr black holes. 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 nontrivial S^{d}^{2}bundle over S^{2} from a ddimensional AdS Kerr black hole. Our construction is a higher dimensional version of the method of Page, which gave an inhomogeneous Einstein metric on
 Publication:

Communications in Mathematical Physics
 Pub Date:
 July 2005
 DOI:
 10.1007/s0022000412251
 arXiv:
 arXiv:hepth/0402199
 Bibcode:
 2005CMaPh.257..273H
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematics  Differential Geometry
 EPrint:
 15 pages, remarks and minor corrections added