Vacuum metrics without symmetry
- Cite this article as:
- Robinson, I. & Robinson, J.R. Int J Theor Phys (1969) 2: 231. doi:10.1007/BF00670009
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Vacuum metrics admitting null, geodetic, expanding, shear-free congruences are investigated. A new solution is derived which contains three holomorphic functions of a complex variable. It includes, as special cases, a number of well-known solutions such as those of Kerr and Taub-NUT. In general, however, it admits no Killing vectors.