Ozváth-Schücking metric

In Einstein's theory of general relativity, the Ozsváth-Schücking metric (or the Ozsváth-Schücking solution) is a rotating vacuum solution to the field equations, discovered by I. Ozsváth and E. Schücking in 1962.

In Cartesian coordinates the metric has the form

:$ds^2\; =\; -2\; [(x^2\; -\; y^2)\; cos\; (2t)\; -\; 2xy\; sin(2t)]\; dt^2\; +\; dx^2\; +\; dy^2\; -\; 2dtdz.$

References

* Ozsváth, I., Schücking, E. (1962). An anti-Mach metric. "Recent developments in general relativity" 339--?.