Curzon solution
1. History
The Curzon metric was discovered in 1925 by H. E. J. Curzon, as a specific case of the vacuum Weyl metric
2. Topology
3. Metrics and coordinates
The Curzon metric is based on the Weyl coordinates :
$$ds^2 = -e^{2\lambda(r,z)} dT^2 + e^{2\left[ \nu(r,z) - \lambda(r,z) \right]} (dr^2 + dz^2) + r^2 e^{-2\lambda(r,z)} d\varphi^2$$4. Tensor quantities
5. Symmetries
As a Weyl metric, the Curzon metric is axisymmetric and static.
6. Stress-energy tensor
The Curzon metric is a vacuum solution.