Does D&D 5e have a rule for character knowledge about monsters?

In the 3rd and 4th editions of D&D, there were explicit rules for determining if a character knew anything about a monster before them. In 3rd edition, for example, use of the Knowledge skill with a general DC of 10 + the monster’s HD allowed for determining one fact, plus one fact per 5 points over the check.

Looking at the Intelligence section of the 5e PHB, I don’t see any similar notation. Does 5e provide any guidance as to when a player could use their out-of-game knowledge about a monster, or when the player might be told things their character would probably know in-game?