Geroch group

Geroch group

The Geroch group is an inifinite-dimensional symmetry group of axisymmetric, 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 (with constant coefficients) of the two Killing vector fields associated with the spacetime's axisymmetry and stationarity, and the Ehlers group.

Bibliography

*Citation|last=Breitenlohner|first=Peter|last2=Maison|first2=Dieter|title=On the Geroch group|journal=Annales de l'institut Henri Poincaré (A) Physique théorique|volume=46(2)|year=1987|pages=215–246|url=http://archive.numdam.org/article/AIHPA_1987__46_2_215_0.pdf


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