Geroch group


The Geroch group is an infinite-dimensional symmetry group of axisymmetric, :wikt:stationary|stationary vacuum spacetimes that are solutions of Einstein's equations of general relativity. It is generated by two non-commuting subgroups: the Matzner–Misner group of linear combinations of the two Killing vector fields associated with the spacetime's axisymmetry and stationarity, and the Ehlers group.