Abstract: An eternal black hole with a nondegenerate Killing horizon and suitable discrete isometries has a variant in which the spatial hypersurfaces are not wormhole-like but only have one asymptotic infinity. Such spacetimes realise in the black-hole context Wheeler's idea of a massive stable object built entirely out of gravitation, a geon. In this talk we construct geons with angular momenta and gauge charges. We show in particular: 1) While Gauss's theorem precludes a conventional electromagnetic charge, there are charged geons with a suitably twisted Maxwell field; 2) Four-dimensional spherically symmetric SU(2) black holes have a geon variant.
(Work based on gr-qc/0412012 with Mann and Marolf.)