# Properties of some five dimensional Einstein metrics

```@article{Gibbons2004PropertiesOS,
title={Properties of some five dimensional Einstein metrics},
author={G. W. Gibbons and Sean A. Hartnoll and Yukinori Yasui},
journal={arXiv: High Energy Physics - Theory},
year={2004}
}```
• Published 5 July 2004
• Mathematics
• arXiv: High Energy Physics - Theory
The volumes, spectra and geodesics of a recently constructed infinite family of five-dimensional inhomogeneous Einstein metrics on the two \$S^3\$ bundles over \$S^2\$ are examined. The metrics are in general of cohomogeneity one but they contain the infinite family of homogeneous metrics \$T^{p,1}\$. The geodesic flow is shown to be completely integrable, in fact both the Hamilton-Jacobi and the Laplace equation separate. As an application of these results, we compute the zeta function of the…

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