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}
}
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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