The eleven rivers traditionally associated with the Élivágar include the Svöl, Gunnthrá, Fjörm, Fimbulthul, Slidr, Hríd, Sylgr, Ylgr, Víd, Leiptr and Gjöll (which flows closest to the gate of Hel and is spanned by the bridge Gjallarbrú), although many other additional rivers are mentioned by name in both Eddas.
In Gylfaginning, Snorri expands upon this notion considerably. As quoted above, when the venomous yeast from the Élivágar froze to ice and overspread its banks it fell as rain through the mild air of Ginnungagap. The rime, infused with the cold of Niflheim from which the Élivágar find their source in the wellspring Hvergelmir, began to fill the void. It then combined with the life-giving fire and heat of Muspelheim, melting and dripping and giving form to Ymir, progenitor of the rime giants or frost giants.
Elsewhere, Gylfaginning says that, "So many serpents are in Hvergelmir with Nídhögg that no tongue can tell them." These serpents are presumably the source of the venom or poison referred to in the myth.
A reference to the river Leiptr appears in Helgakviða Hundingsbana II, where the Valkyrie Sigrún puts a curse on her brother Dagr for having murdered her husband Helgi Hundingsbane despite him having sworn a holy oath of allegiance to Helgi on the "bright water of Leiptr" (ljósa Leiftrar vatni):
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