We ended up here after the original hike Tim and Pam had planned for us, Arcadia Canyon, turned out to be closed. Parks and trails seem to be closed a lot in LA.
But it was a lucky break. Eaton Canyon is fabulous. Upstream as you approach the waterfall, the canyon walls mimic the Black Canyon of the Gunnison in Colorado: sheer black faces crisscrossed with pink and white veins. Apparently it's not that different from the Gunnison, either: it's mica schist with granite pegmatite dikes (Geology of Eaton Canyon).
The waterfall is pretty nice, too.